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168398612496 = 2434113992
BaseRepresentation
bin1001110011010101010…
…1101110100000010000
3121002122222200212110000
42130311111232200100
510224340021044441
6205210010410000
715111034405632
oct2346525564020
9532588625400
10168398612496
1165465699024
1228778430900
1312b5925690a
148217100a52
1545a8e752b6
hex273556e810

168398612496 has 75 divisors (see below), whose sum is σ = 487437202351. Its totient is φ = 56127946464.

The previous prime is 168398612477. The next prime is 168398612537. The reversal of 168398612496 is 694216893861.

The square root of 168398612496 is 410364.

It is a perfect power (a square), and thus also a powerful number.

168398612496 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 9 + 8 + 612 + 4 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 14767405 + ... + 14778803.

Almost surely, 2168398612496 is an apocalyptic number.

168398612496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168398612496 is the 410364-th square number.

It is an amenable number.

168398612496 is an abundant number, since it is smaller than the sum of its proper divisors (319038589855).

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

168398612496 is an frugal number, since it uses more digits than its factorization.

168398612496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22818 (or 11404 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 168398612496 in words is "one hundred sixty-eight billion, three hundred ninety-eight million, six hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 11399 22798 34197 45596 68394 91192 102591 136788 182384 205182 273576 307773 410364 547152 615546 820728 923319 1231092 1641456 1846638 2462184 3693276 4924368 7386552 14773104 129937201 259874402 389811603 519748804 779623206 1039497608 1169434809 1559246412 2078995216 2338869618 3118492824 3508304427 4677739236 6236985648 7016608854 9355478472 10524913281 14033217708 18710956944 21049826562 28066435416 42099653124 56132870832 84199306248 168398612496