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190687468968 = 233218114632249
BaseRepresentation
bin1011000110010111011…
…0111101110110101000
3200020012100010002111200
42301211312331312220
511111011443001333
6223333422124200
716530261512523
oct2614566756650
9606170102450
10190687468968
1173963117867
1230b58a20660
1314c9bba4499
14932d393bba
154e60b10c13
hex2c65dbdda8

190687468968 has 48 divisors (see below), whose sum is σ = 519298552500. Its totient is φ = 63211311360.

The previous prime is 190687468931. The next prime is 190687468973. The reversal of 190687468968 is 869864786091.

190687468968 is a `hidden beast` number, since 19 + 0 + 68 + 7 + 468 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139023088164 + 51664380804 = 372858^2 + 227298^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 190687468896 and 190687468905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7303093 + ... + 7329156.

Almost surely, 2190687468968 is an apocalyptic number.

190687468968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190687468968 is an abundant number, since it is smaller than the sum of its proper divisors (328611083532).

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

190687468968 is a wasteful number, since it uses less digits than its factorization.

190687468968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632442 (or 14632435 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 190687468968 in words is "one hundred ninety billion, six hundred eighty-seven million, four hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 13032 14632249 29264498 43896747 58528996 87793494 117057992 131690241 175586988 263380482 351173976 526760964 1053521928 2648437069 5296874138 7945311207 10593748276 15890622414 21187496552 23835933621 31781244828 47671867242 63562489656 95343734484 190687468968