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2074419186432 = 28373257914347
BaseRepresentation
bin11110001011111101000…
…001001100101100000000
321100022102211200012222020
4132023331001030230000
5232441402302431212
64224550334241440
7302605020103125
oct36137501145400
97308384605866
102074419186432
1172a83560704a
12296052956280
131208033cba28
147258c37674c
1538e61566d8c
hex1e2fd04cb00

2074419186432 has 144 divisors (see below), whose sum is σ = 5599170407040. Its totient is φ = 681688866816.

The previous prime is 2074419186409. The next prime is 2074419186461. The reversal of 2074419186432 is 2346819144702.

It is a super-2 number, since 2×20744191864322 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144581883 + ... + 144596229.

Almost surely, 22074419186432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074419186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799585203520).

2074419186432 is an abundant number, since it is smaller than the sum of its proper divisors (3524751220608).

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

2074419186432 is a wasteful number, since it uses less digits than its factorization.

2074419186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2074419186432 in words is "two trillion, seventy-four billion, four hundred nineteen million, one hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 584 768 876 1168 1752 2336 2579 3504 4672 5158 7008 7737 9344 10316 14016 14347 15474 18688 20632 28032 28694 30948 41264 43041 56064 57388 61896 82528 86082 114776 123792 165056 172164 188267 229552 247584 330112 344328 376534 459104 495168 564801 660224 688656 753068 918208 990336 1047331 1129602 1377312 1506136 1836416 1980672 2094662 2259204 2754624 3012272 3141993 3672832 4189324 4518408 5509248 6024544 6283986 8378648 9036816 11018496 12049088 12567972 16757296 18073632 24098176 25135944 33514592 36147264 37000913 48196352 50271888 67029184 72294528 74001826 100543776 111002739 134058368 144589056 148003652 201087552 222005478 268116736 296007304 402175104 444010956 592014608 804350208 888021912 1184029216 1776043824 2368058432 2701066649 3552087648 4736116864 5402133298 7104175296 8103199947 9472233728 10804266596 14208350592 16206399894 21608533192 28416701184 32412799788 43217066384 64825599576 86434132768 129651199152 172868265536 259302398304 345736531072 518604796608 691473062144 1037209593216 2074419186432