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74960907168 = 2537237430691
BaseRepresentation
bin100010111010000000…
…1001010101110100000
321011111011011122011010
41011310001022232200
52212004443012133
654234144220520
75262413124600
oct1056401125640
9234434148133
1074960907168
1129877529054
121264030a740
1370b8169594
1438b181cc00
151e3ade4263
hex117404aba0

74960907168 has 144 divisors (see below), whose sum is σ = 235085475744. Its totient is φ = 20838504960.

The previous prime is 74960907139. The next prime is 74960907179. The reversal of 74960907168 is 86170906947.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41298 + ... + 389393.

It is an arithmetic number, because the mean of its divisors is an integer number (1632538026).

Almost surely, 274960907168 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 74960907168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117542737872).

74960907168 is an abundant number, since it is smaller than the sum of its proper divisors (160124568576).

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

74960907168 is a wasteful number, since it uses less digits than its factorization.

74960907168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430755 (or 430740 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 74960907168 in words is "seventy-four billion, nine hundred sixty million, nine hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 49 56 74 84 96 98 111 112 147 148 168 196 222 224 259 294 296 336 392 444 518 588 592 672 777 784 888 1036 1176 1184 1554 1568 1776 1813 2072 2352 3108 3552 3626 4144 4704 5439 6216 7252 8288 10878 12432 14504 21756 24864 29008 43512 58016 87024 174048 430691 861382 1292073 1722764 2584146 3014837 3445528 5168292 6029674 6891056 9044511 10336584 12059348 13782112 15935567 18089022 20673168 21103859 24118696 31871134 36178044 41346336 42207718 47806701 48237392 63311577 63742268 72356088 84415436 95613402 96474784 111548969 126623154 127484536 144712176 168830872 191226804 223097938 253246308 254969072 289424352 334646907 337661744 382453608 446195876 506492616 509938144 669293814 675323488 764907216 780842783 892391752 1012985232 1338587628 1529814432 1561685566 1784783504 2025970464 2342528349 2677175256 3123371132 3569567008 4685056698 5354350512 6246742264 9370113396 10708701024 12493484528 18740226792 24986969056 37480453584 74960907168