Search a number
-
+
31840509696 = 283316719961
BaseRepresentation
bin11101101001110101…
…111001111100000000
310001012000112111000220
4131221311321330000
51010202132302241
622343300343040
72205015603222
oct355165717400
9101160474026
1031840509696
111255a157226
1262073a4a80
1330057999a8
141780a68412
15c654d5166
hex769d79f00

31840509696 has 144 divisors (see below), whose sum is σ = 88785865728. Its totient is φ = 10117324800.

The previous prime is 31840509689. The next prime is 31840509731. The reversal of 31840509696 is 69690504813.

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, 1585156 + ... + 1605116.

It is an arithmetic number, because the mean of its divisors is an integer number (616568512).

Almost surely, 231840509696 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 31840509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44392932864).

31840509696 is an abundant number, since it is smaller than the sum of its proper divisors (56945356032).

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

31840509696 is a wasteful number, since it uses less digits than its factorization.

31840509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 31840509696 in words is "thirty-one billion, eight hundred forty million, five hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 128 134 186 192 201 248 256 268 372 384 402 496 536 744 768 804 992 1072 1488 1608 1984 2077 2144 2976 3216 3968 4154 4288 5952 6231 6432 7936 8308 8576 11904 12462 12864 16616 17152 19961 23808 24924 25728 33232 39922 49848 51456 59883 66464 79844 99696 119766 132928 159688 199392 239532 265856 319376 398784 479064 531712 618791 638752 797568 958128 1237582 1277504 1337387 1595136 1856373 1916256 2475164 2555008 2674774 3712746 3832512 4012161 4950328 5110016 5349548 7425492 7665024 8024322 9900656 10699096 14850984 15330048 16048644 19801312 21398192 29701968 32097288 39602624 41458997 42796384 59403936 64194576 79205248 82917994 85592768 118807872 124376991 128389152 158410496 165835988 171185536 237615744 248753982 256778304 331671976 342371072 475231488 497507964 513556608 663343952 995015928 1027113216 1326687904 1990031856 2653375808 3980063712 5306751616 7960127424 10613503232 15920254848 31840509696