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40791935249856 = 2632710117047433
BaseRepresentation
bin10010100011001100111001…
…10011110110110111000000
312100102200010002210222220100
421101212130303312313000
520321313340410443411
6222431320101042400
711410056116435460
oct1121463463666700
9170380102728810
1040791935249856
1111aa78430066aa
1246a99006b6400
13199b88077cc1b
14a104a971dba0
154ab159ec3456
hex25199ccf6dc0

40791935249856 has 84 divisors (see below), whose sum is σ = 133625962508272. Its totient is φ = 11654838641664.

The previous prime is 40791935249851. The next prime is 40791935249881. The reversal of 40791935249856 is 65894253919704.

40791935249856 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 1 + 9 + 3 + 524 + 98 + 5 + 6 = 666.

40791935249856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40791935249851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5058519685 + ... + 5058527748.

It is a 1-persistent number, because it is pandigital, but 2⋅40791935249856 = 81583870499712 is not.

Almost surely, 240791935249856 is an apocalyptic number.

It is an amenable number.

40791935249856 is an abundant number, since it is smaller than the sum of its proper divisors (92834027258416).

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

40791935249856 is a wasteful number, since it uses less digits than its factorization.

40791935249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117047458 (or 10117047445 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 40791935249856 in words is "forty trillion, seven hundred ninety-one billion, nine hundred thirty-five million, two hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10117047433 20234094866 30351142299 40468189732 60702284598 70819332031 80936379464 91053426897 121404569196 141638664062 161872758928 182106853794 212457996093 242809138392 283277328124 323745517856 364213707588 424915992186 485618276784 566554656248 637373988279 647491035712 728427415176 849831984372 971236553568 1133109312496 1274747976558 1456854830352 1699663968744 1942473107136 2266218624992 2549495953116 2913709660704 3399327937488 4532437249984 5098991906232 5827419321408 6798655874976 10197983812464 13597311749952 20395967624928 40791935249856