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168290293824 = 2632170932
BaseRepresentation
bin1001110010111011100…
…0100001100001000000
3121002101102212201011100
42130232320201201000
510224124303400244
6205151141014400
715105250616022
oct2345670414100
9532342781140
10168290293824
116540a535664
12287480b4400
1312b3c98c923
148206986012
15459e6cab69
hex272ee21840

168290293824 has 63 divisors (see below), whose sum is σ = 482401963693. Its totient is φ = 56093482752.

The previous prime is 168290293771. The next prime is 168290293837. The reversal of 168290293824 is 428392092861.

The square root of 168290293824 is 410232.

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

168290293824 is a `hidden beast` number, since 1 + 68 + 290 + 293 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92537640000 + 75752653824 = 304200^2 + 275232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9837022 + ... + 9854114.

Almost surely, 2168290293824 is an apocalyptic number.

168290293824 is the 410232-nd square number.

It is an amenable number.

168290293824 is an abundant number, since it is smaller than the sum of its proper divisors (314111669869).

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

168290293824 is an frugal number, since it uses more digits than its factorization.

168290293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34204 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 168290293824 in words is "one hundred sixty-eight billion, two hundred ninety million, two hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17093 34186 51279 68372 102558 136744 153837 205116 273488 307674 410232 546976 615348 820464 1093952 1230696 1640928 2461392 3281856 4922784 9845568 292170649 584341298 876511947 1168682596 1753023894 2337365192 2629535841 3506047788 4674730384 5259071682 7012095576 9349460768 10518143364 14024191152 18698921536 21036286728 28048382304 42072573456 56096764608 84145146912 168290293824