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56378199042 = 23311313061703
BaseRepresentation
bin110100100000011001…
…110000110000000010
312101112002112020212000
4310200121300300002
51410430304332132
641522204244430
74034050533144
oct644031606002
9171462466760
1056378199042
1121a01029430
12ab14b40716
1354162b5cb9
142a2b86ac94
1516ee7d687c
hexd20670c02

56378199042 has 64 divisors (see below), whose sum is σ = 141083320320. Its totient is φ = 16533190800.

The previous prime is 56378199023. The next prime is 56378199043. The reversal of 56378199042 is 24099187365.

56378199042 is a `hidden beast` number, since 563 + 78 + 1 + 9 + 9 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56378199042.

It is not an unprimeable number, because it can be changed into a prime (56378199043) 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, 1512438 + ... + 1549265.

It is an arithmetic number, because the mean of its divisors is an integer number (2204426880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅56378199042 = 112756398084, but 3⋅56378199042 = 169134597126 is not.

Almost surely, 256378199042 is an apocalyptic number.

56378199042 is an abundant number, since it is smaller than the sum of its proper divisors (84705121278).

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

56378199042 is a wasteful number, since it uses less digits than its factorization.

56378199042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061756 (or 3061750 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 56378199042 in words is "fifty-six billion, three hundred seventy-eight million, one hundred ninety-nine thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 3061703 6123406 9185109 18370218 27555327 33678733 55110654 67357466 82665981 94912793 101036199 165331962 189825586 202072398 284738379 303108597 569476758 606217194 854215137 909325791 1044040723 1708430274 1818651582 2088081446 2562645411 3132122169 5125290822 6264244338 9396366507 18792733014 28189099521 56378199042