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72946640824428 = 22375778941168331
BaseRepresentation
bin10000100101100000110110…
…100111010010100001101100
3100120021122000211012002000210
4100211200312213102201230
534030124210022340203
6415051120230422420
721236135522260440
oct2045406647224154
9316248024162023
1072946640824428
1121274551037498
12822166a501a10
133191ab9865c27
1414028c9c4a820
15867799a03803
hex4258369d286c

72946640824428 has 96 divisors (see below), whose sum is σ = 194884458055168. Its totient is φ = 20803325644800.

The previous prime is 72946640824427. The next prime is 72946640824507. The reversal of 72946640824428 is 82442804664927.

It is not an unprimeable number, because it can be changed into a prime (72946640824427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433268223 + ... + 433436553.

Almost surely, 272946640824428 is an apocalyptic number.

It is an amenable number.

72946640824428 is an abundant number, since it is smaller than the sum of its proper divisors (121937817230740).

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

72946640824428 is a wasteful number, since it uses less digits than its factorization.

72946640824428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177863 (or 177861 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 66.

The spelling of 72946640824428 in words is "seventy-two trillion, nine hundred forty-six billion, six hundred forty million, eight hundred twenty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 577 1154 1731 2308 3462 4039 6924 8078 8941 12117 16156 17882 24234 26823 35764 48468 53646 62587 107292 125174 168331 187761 250348 336662 375522 504993 673324 751044 1009986 1178317 2019972 2356634 3534951 4713268 5158957 7069902 10317914 14139804 15476871 20635828 30953742 36112699 61907484 72225398 97126987 108338097 144450796 194253974 216676194 291380961 388507948 433352388 582761922 679888909 1165523844 1359777818 1505047471 2039666727 2719555636 3010094942 4079333454 4515142413 6020189884 8158666908 9030284826 10535332297 18060569652 21070664594 31605996891 42141329188 63211993782 126423987564 868412390767 1736824781534 2605237172301 3473649563068 5210474344602 6078886735369 10420948689204 12157773470738 18236660206107 24315546941476 36473320412214 72946640824428