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3131485056 = 27337129443
BaseRepresentation
bin1011101010100110…
…1010101110000000
322002020102220221000
42322221222232000
522403130010211
61234422332000
7140413120020
oct27251525600
98066386830
103131485056
111367707087
1273488a000
133ab9ccc4b
14219c71a80
15134db7656
hexbaa6ab80

3131485056 has 128 divisors (see below), whose sum is σ = 10562630400. Its totient is φ = 894703104.

The previous prime is 3131485031. The next prime is 3131485073. The reversal of 3131485056 is 6505841313.

3131485056 is a `hidden beast` number, since 3 + 1 + 3 + 148 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3131485056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40530 + ... + 88913.

It is an arithmetic number, because the mean of its divisors is an integer number (82520550).

Almost surely, 23131485056 is an apocalyptic number.

3131485056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3131485056 is an abundant number, since it is smaller than the sum of its proper divisors (7431145344).

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

3131485056 is a wasteful number, since it uses less digits than its factorization.

3131485056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129473 (or 129455 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3131485056 is about 55959.6734801053. The cubic root of 3131485056 is about 1463.0194993373.

The spelling of 3131485056 in words is "three billion, one hundred thirty-one million, four hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 129443 258886 388329 517772 776658 906101 1035544 1164987 1553316 1812202 2071088 2329974 2718303 3106632 3494961 3624404 4142176 4659948 5436606 6213264 6989922 7248808 8154909 8284352 9319896 10873212 12426528 13979844 14497616 16309818 16568704 18639792 21746424 24464727 24853056 27959688 28995232 32619636 37279584 43492848 48929454 49706112 55919376 57990464 65239272 74559168 86985696 97858908 111838752 115980928 130478544 149118336 173971392 195717816 223677504 260957088 347942784 391435632 447355008 521914176 782871264 1043828352 1565742528 3131485056