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56608428107 = 7311193532237
BaseRepresentation
bin110100101110001000…
…000001000001001011
312102010010202002202102
4310232020001001023
51411413224144412
642001111024015
74042544462000
oct645610010113
9172103662672
1056608428107
1122009a88990
12ab7a06b00b
135451bc560a
142a5027b8a7
151714b128c2
hexd2e20104b

56608428107 has 64 divisors (see below), whose sum is σ = 76056192000. Its totient is φ = 41651850240.

The previous prime is 56608428101. The next prime is 56608428109. The reversal of 56608428107 is 70182480665.

It is not a de Polignac number, because 56608428107 - 216 = 56608362571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56608428101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25304393 + ... + 25306629.

It is an arithmetic number, because the mean of its divisors is an integer number (1188378000).

Almost surely, 256608428107 is an apocalyptic number.

56608428107 is a deficient number, since it is larger than the sum of its proper divisors (19447763893).

56608428107 is a wasteful number, since it uses less digits than its factorization.

56608428107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 56608428107 in words is "fifty-six billion, six hundred eight million, four hundred twenty-eight thousand, one hundred seven".

Divisors: 1 7 11 19 49 77 133 209 343 353 539 931 1463 2237 2471 3773 3883 6517 6707 10241 15659 17297 24607 27181 42503 46949 71687 73777 109613 121079 172249 190267 297521 328643 467533 516439 767291 789661 1205743 1331869 2082647 2300501 3272731 3615073 5527627 8440201 8686271 14578529 15003559 22909117 25305511 38693389 60803897 105024913 160363819 165039149 270853723 425627279 735174391 1155274043 2979390953 5146220737 8086918301 56608428107