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45401627524374 = 23411172309649069
BaseRepresentation
bin10100101001010111000111…
…11000010111110100010110
312221202100112111002022110000
422110223203320113310112
521422330013121234444
6240321115244312130
712364105440325002
oct1224534370276426
9187670474068400
1045401627524374
11135147a41350a0
125113181242646
131c4448021c024
14b2d644241702
1553b001b71469
hex294ae3e17d16

45401627524374 has 160 divisors (see below), whose sum is σ = 117561168093600. Its totient is φ = 12943142876160.

The previous prime is 45401627524321. The next prime is 45401627524489. The reversal of 45401627524374 is 47342572610454.

45401627524374 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 1 + 627 + 5 + 2 + 4 + 3 + 7 + 4 = 666.

It is a super-2 number, since 2×454016275243742 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45401627524374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69624312 + ... + 70273380.

It is an arithmetic number, because the mean of its divisors is an integer number (734757300585).

Almost surely, 245401627524374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45401627524374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58780584046800).

45401627524374 is an abundant number, since it is smaller than the sum of its proper divisors (72159540569226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45401627524374 is a wasteful number, since it uses less digits than its factorization.

45401627524374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651420 (or 651411 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 45401627524374 in words is "forty-five trillion, four hundred one billion, six hundred twenty-seven million, five hundred twenty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 297 306 374 459 561 594 891 918 1122 1377 1683 1782 2309 2754 3366 4618 5049 6927 10098 13854 15147 20781 25399 30294 39253 41562 50798 62343 76197 78506 117759 124686 152394 187029 228591 235518 353277 374058 431783 457182 649069 685773 706554 863566 1059831 1295349 1298138 1371546 1947207 2057319 2119662 2590698 3179493 3886047 3894414 4114638 5841621 6358986 7139759 7772094 11034173 11658141 11683242 14279518 17524863 21419277 22068346 23316282 33102519 34974423 35049726 42838554 52574589 64257831 66205038 69948846 99307557 105149178 121375903 128515662 192773493 198615114 242751806 297922671 364127709 385546986 578320479 595845342 728255418 893768013 1092383127 1156640958 1498700321 1787536026 2184766254 2997400642 3277149381 4496100963 6554298762 8992201926 9831448143 13488302889 16485703531 19662896286 25477905457 26976605778 32971407062 40464908667 49457110593 50955810914 76433716371 80929817334 98914221186 121394726001 148371331779 152867432742 229301149113 242789452002 280256960027 296742663558 445113995337 458602298226 560513920054 687903447339 840770880081 890227990674 1335341986011 1375806894678 1681541760162 2063710342017 2522312640243 2670683972022 4127420684034 5044625280486 7566937920729 15133875841458 22700813762187 45401627524374