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313056566004 = 223713271930671
BaseRepresentation
bin1001000111000111010…
…00000001101011110100
31002221001110011022011210
410203203220001223310
520112114440103004
6355452144401420
731421555622420
oct4434350015364
91087043138153
10313056566004
111108482a7616
125080a016270
13236a0b47500
141121b1d3b80
158223a86089
hex48e3a01af4

313056566004 has 144 divisors (see below), whose sum is σ = 905260769280. Its totient is φ = 82446848640.

The previous prime is 313056566003. The next prime is 313056566113. The reversal of 313056566004 is 400665650313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313056566003) 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 47 ways as a sum of consecutive naturals, for example, 10191589 + ... + 10222259.

It is an arithmetic number, because the mean of its divisors is an integer number (6286533120).

Almost surely, 2313056566004 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 313056566004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452630384640).

313056566004 is an abundant number, since it is smaller than the sum of its proper divisors (592204203276).

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

313056566004 is a wasteful number, since it uses less digits than its factorization.

313056566004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31430 (or 31415 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 313056566004 in words is "three hundred thirteen billion, fifty-six million, five hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 719 1014 1092 1183 1438 2028 2157 2366 2876 3549 4314 4732 5033 7098 8628 9347 10066 14196 15099 18694 20132 28041 30198 30671 37388 56082 60396 61342 65429 92013 112164 121511 122684 130858 184026 196287 214697 243022 261716 364533 368052 392574 398723 429394 486044 644091 729066 785148 797446 850577 858788 1196169 1288182 1458132 1594892 1701154 2392338 2551731 2576364 2791061 3402308 4784676 5103462 5183399 5582122 8373183 10206924 10366798 11164244 15550197 16746366 20733596 22052449 31100394 33492732 36283793 44104898 62200788 66157347 72567586 88209796 108851379 132314694 145135172 154367143 217702758 264629388 286681837 308734286 435405516 463101429 573363674 617468572 860045511 926202858 1146727348 1720091022 1852405716 2006772859 3440182044 3726863881 4013545718 6020318577 7453727762 8027091436 11180591643 12040637154 14907455524 22361183286 24081274308 26088047167 44722366572 52176094334 78264141501 104352188668 156528283002 313056566004