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45505162620 = 223253745714951
BaseRepresentation
bin101010011000010100…
…011010110101111100
311100110022222202220100
4222120110122311330
51221143310200440
632523233321100
73200442333411
oct523024326574
9140408882810
1045505162620
1118331529215
12899b706190
1343a2783038
1422b97aa108
1512b4e76230
hexa9851ad7c

45505162620 has 144 divisors (see below), whose sum is σ = 142082635968. Its totient is φ = 11780121600.

The previous prime is 45505162597. The next prime is 45505162639. The reversal of 45505162620 is 2626150554.

45505162620 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 5 + 1 + 626 + 20 = 666.

45505162620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3036145 + ... + 3051095.

It is an arithmetic number, because the mean of its divisors is an integer number (986684972).

Almost surely, 245505162620 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 45505162620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71041317984).

45505162620 is an abundant number, since it is smaller than the sum of its proper divisors (96577473348).

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

45505162620 is a wasteful number, since it uses less digits than its factorization.

45505162620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15460 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 45505162620 in words is "forty-five billion, five hundred five million, one hundred sixty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 457 555 666 740 914 1110 1332 1371 1665 1828 2220 2285 2742 3330 4113 4570 5484 6660 6855 8226 9140 13710 14951 16452 16909 20565 27420 29902 33818 41130 44853 50727 59804 67636 74755 82260 84545 89706 101454 134559 149510 152181 169090 179412 202908 224265 253635 269118 299020 304362 338180 448530 507270 538236 553187 608724 672795 760905 897060 1014540 1106374 1345590 1521810 1659561 2212748 2691180 2765935 3043620 3319122 4978683 5531870 6638244 6832607 8297805 9957366 11063740 13665214 16595610 19914732 20497821 24893415 27330428 33191220 34163035 40995642 49786830 61493463 68326070 81991284 99573660 102489105 122986926 136652140 204978210 245973852 252806459 307467315 409956420 505612918 614934630 758419377 1011225836 1229869260 1264032295 1516838754 2275258131 2528064590 3033677508 3792096885 4550516262 5056129180 7584193770 9101032524 11376290655 15168387540 22752581310 45505162620