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20868496922025 = 325237282312
BaseRepresentation
bin1001011111010110100110…
…10110001001010110101001
32201220000020102122102011100
410233223103112021112221
510213402140203001100
6112214504413152013
74252461544036014
oct457532326112651
981800212572140
1020868496922025
1167163095210a5
12241055548b609
13b84b771787ac
1452207d73437b
15262c86832400
hex12fad35895a9

20868496922025 has 81 divisors (see below), whose sum is σ = 38419978140453. Its totient is φ = 10827742219200.

The previous prime is 20868496922011. The next prime is 20868496922057. The reversal of 20868496922025 is 52022969486802.

The square root of 20868496922025 is 4568205.

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

20868496922025 is a `hidden beast` number, since 20 + 86 + 8 + 496 + 9 + 2 + 20 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1981059065001 + 18887437857024 = 1407501^2 + 4345968^2 .

It is not a de Polignac number, because 20868496922025 - 225 = 20868463367593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2535349660 + ... + 2535357890.

Almost surely, 220868496922025 is an apocalyptic number.

20868496922025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20868496922025 is the 4568205-th square number.

20868496922025 is the 2284103-rd centered octagonal number.

It is an amenable number.

20868496922025 is a deficient number, since it is larger than the sum of its proper divisors (17551481218428).

20868496922025 is an frugal number, since it uses more digits than its factorization.

20868496922025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 20868496922025 in words is "twenty trillion, eight hundred sixty-eight billion, four hundred ninety-six million, nine hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 555 925 1369 1665 2775 4107 6845 8231 8325 12321 20535 24693 34225 41155 61605 74079 102675 123465 205775 304547 308025 370395 617325 913641 1522735 1851975 2740923 4568205 7613675 11268239 13704615 22841025 33804717 56341195 67749361 68523075 101414151 169023585 203248083 281705975 338746805 507070755 609744249 845117925 1016240415 1693734025 2506726357 2535353775 3048721245 5081202075 7520179071 12533631785 15243606225 22560537213 37600895355 62668158925 92748875209 112802686065 188004476775 278246625627 463744376045 564013430325 834739876881 1391233128135 2318721880225 4173699384405 6956165640675 20868496922025