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31884255656 = 23113124148497
BaseRepresentation
bin11101101100011100…
…110010000110101000
310001022001212000012122
4131230130302012220
51010244332140111
622351502130412
72206056462401
oct355434620650
9101261760178
1031884255656
1112581916210
126219b80a08
133011875586
1417867b49a8
15c69276cdb
hex76c7321a8

31884255656 has 64 divisors (see below), whose sum is σ = 67602332160. Its totient is φ = 13966848000.

The previous prime is 31884255653. The next prime is 31884255707. The reversal of 31884255656 is 65655248813.

It is a junction number, because it is equal to n+sod(n) for n = 31884255598 and 31884255607.

It is not an unprimeable number, because it can be changed into a prime (31884255653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633200 + ... + 681696.

It is an arithmetic number, because the mean of its divisors is an integer number (1056286440).

Almost surely, 231884255656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31884255656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33801166080).

31884255656 is an abundant number, since it is smaller than the sum of its proper divisors (35718076504).

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

31884255656 is a wasteful number, since it uses less digits than its factorization.

31884255656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786 (or 48782 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 53.

The spelling of 31884255656 in words is "thirty-one billion, eight hundred eighty-four million, two hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 241 248 341 482 682 964 1364 1928 2651 2728 5302 7471 10604 14942 21208 29884 48497 59768 82181 96994 164362 193988 328724 387976 533467 657448 1066934 1503407 2133868 3006814 4267736 6013628 11687777 12027256 16537477 23375554 33074954 46751108 66149908 93502216 128565547 132299816 257131094 362321087 514262188 724642174 1028524376 1449284348 2898568696 3985531957 7971063914 15942127828 31884255656