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5105611588 = 22711293118439
BaseRepresentation
bin1001100000101000…
…10111001101000100
3111011211002221102111
410300110113031010
540424014032323
62202342550404
7240343660660
oct46024271504
914154087374
105105611588
11218aa91610
12ba5a38404
136349b865c
143661138a0
151ed368c0d
hex130517344

5105611588 has 96 divisors (see below), whose sum is σ = 11896012800. Its totient is φ = 1858550400.

The previous prime is 5105611561. The next prime is 5105611591. The reversal of 5105611588 is 8851165015.

It is a self number, because there is not a number n which added to its sum of digits gives 5105611588.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 267673 + ... + 286111.

It is an arithmetic number, because the mean of its divisors is an integer number (123916800).

Almost surely, 25105611588 is an apocalyptic number.

5105611588 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105611588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948006400).

5105611588 is an abundant number, since it is smaller than the sum of its proper divisors (6790401212).

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

5105611588 is a wasteful number, since it uses less digits than its factorization.

5105611588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 40.

The square root of 5105611588 is about 71453.5624584247. The cubic root of 5105611588 is about 1721.9317115336.

The spelling of 5105611588 in words is "five billion, one hundred five million, six hundred eleven thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 31 44 58 62 77 116 124 154 203 217 308 319 341 406 434 638 682 812 868 899 1276 1364 1798 2233 2387 3596 4466 4774 6293 8932 9548 9889 12586 18439 19778 25172 36878 39556 69223 73756 129073 138446 202829 258146 276892 405658 516292 534731 571609 811316 1069462 1143218 1419803 2138924 2286436 2839606 3743117 4001263 5679212 5882041 6287699 7486234 8002526 11764082 12575398 14972468 16005052 16576661 23528164 25150796 33153322 41174287 44013893 66306644 82348574 88027786 116036627 164697148 176055572 182343271 232073254 364686542 464146508 729373084 1276402897 2552805794 5105611588