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31192969024 = 267473134733
BaseRepresentation
bin11101000011001111…
…101110111101000000
32222111220002000020001
4131003033232331000
51002340400002044
622155125325344
72152663601440
oct350317567500
988456060201
1031192969024
1112257688348
126066566854
132c31597229
14171ca68120
15c287262d4
hex7433eef40

31192969024 has 112 divisors (see below), whose sum is σ = 72492461568. Its totient is φ = 13039423488.

The previous prime is 31192968991. The next prime is 31192969033. The reversal of 31192969024 is 42096929113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6588162 + ... + 6592894.

Almost surely, 231192969024 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 31192969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36246230784).

31192969024 is an abundant number, since it is smaller than the sum of its proper divisors (41299492544).

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

31192969024 is a wasteful number, since it uses less digits than its factorization.

31192969024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 31192969024 in words is "thirty-one billion, one hundred ninety-two million, nine hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 313 329 376 448 626 658 752 1252 1316 1504 2191 2504 2632 3008 4382 4733 5008 5264 8764 9466 10016 10528 14711 17528 18932 20032 21056 29422 33131 35056 37864 58844 66262 70112 75728 102977 117688 132524 140224 151456 205954 222451 235376 265048 302912 411908 444902 470752 530096 823816 889804 941504 1060192 1481429 1557157 1647632 1779608 2120384 2962858 3114314 3295264 3559216 5925716 6228628 6590528 7118432 10370003 11851432 12457256 14236864 20740006 23702864 24914512 41480012 47405728 49829024 69627163 82960024 94811456 99658048 139254326 165920048 278508652 331840096 487390141 557017304 663680192 974780282 1114034608 1949560564 2228069216 3899121128 4456138432 7798242256 15596484512 31192969024