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40657634832 = 2432941969709
BaseRepresentation
bin100101110111011000…
…100100011000010000
310212221111111211220010
4211313120210120100
51131231323303312
630402230114520
72636351123343
oct456730443020
9125844454803
1040657634832
11162741a1901
127a681aba40
133aac3aa6b9
141d79a7845a
1510ce5db93c
hex977624610

40657634832 has 80 divisors (see below), whose sum is σ = 108914904000. Its totient is φ = 13053798912.

The previous prime is 40657634821. The next prime is 40657634833. The reversal of 40657634832 is 23843675604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40657634833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548394 + ... + 618102.

It is an arithmetic number, because the mean of its divisors is an integer number (1361436300).

Almost surely, 240657634832 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 40657634832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54457452000).

40657634832 is an abundant number, since it is smaller than the sum of its proper divisors (68257269168).

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

40657634832 is a wasteful number, since it uses less digits than its factorization.

40657634832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70168 (or 70162 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 40657634832 in words is "forty billion, six hundred fifty-seven million, six hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 419 464 696 838 1257 1392 1676 2514 3352 5028 6704 10056 12151 20112 24302 36453 48604 69709 72906 97208 139418 145812 194416 209127 278836 291624 418254 557672 583248 836508 1115344 1673016 2021561 3346032 4043122 6064683 8086244 12129366 16172488 24258732 29208071 32344976 48517464 58416142 87624213 97034928 116832284 175248426 233664568 350496852 467329136 700993704 847034059 1401987408 1694068118 2541102177 3388136236 5082204354 6776272472 10164408708 13552544944 20328817416 40657634832