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40749032376 = 23321381153681
BaseRepresentation
bin100101111100110101…
…001110001110111000
310220011212111022202100
4211330311032032320
51131423223014001
630415253103400
72641541026443
oct457465161670
9126155438670
1040749032376
1116310848168
127a92927b60
133ac52cb7a0
141d87c6a65a
1510d7642586
hex97cd4e3b8

40749032376 has 96 divisors (see below), whose sum is σ = 119000110320. Its totient is φ = 12522470400.

The previous prime is 40749032353. The next prime is 40749032381. The reversal of 40749032376 is 67323094704.

40749032376 is a `hidden beast` number, since 407 + 4 + 9 + 0 + 3 + 237 + 6 = 666.

It is a congruent number.

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, 732256 + ... + 785936.

Almost surely, 240749032376 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 40749032376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59500055160).

40749032376 is an abundant number, since it is smaller than the sum of its proper divisors (78251077944).

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

40749032376 is a wasteful number, since it uses less digits than its factorization.

40749032376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54517 (or 54510 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 40749032376 in words is "forty billion, seven hundred forty-nine million, thirty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 811 936 1622 2433 3244 4866 6488 7299 9732 10543 14598 19464 21086 29196 31629 42172 53681 58392 63258 84344 94887 107362 126516 161043 189774 214724 253032 322086 379548 429448 483129 644172 697853 759096 966258 1288344 1395706 1932516 2093559 2791412 3865032 4187118 5582824 6280677 8374236 12561354 16748472 25122708 43535291 50245416 87070582 130605873 174141164 261211746 348282328 391817619 522423492 565958783 783635238 1044846984 1131917566 1567270476 1697876349 2263835132 3134540952 3395752698 4527670264 5093629047 6791505396 10187258094 13583010792 20374516188 40749032376