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68604858668025 = 3252211226172
BaseRepresentation
bin11111001100101010100000…
…01110110001001111111001
322222220120010120001212212100
433212111100032301033321
532443010222304334100
6401524345330534013
720310352232001621
oct1746252016611771
9288816116055770
1068604858668025
111a950180214059
1278400b8437309
132c385448a6034
1412d26c864b881
157de8831c1400
hex3e65503b13f9

68604858668025 has 81 divisors (see below), whose sum is σ = 123511244960493. Its totient is φ = 36401934038400.

The previous prime is 68604858667987. The next prime is 68604858668039. The reversal of 68604858668025 is 52086685840686.

The square root of 68604858668025 is 8282805.

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

68604858668025 is a `hidden beast` number, since 6 + 8 + 6 + 0 + 485 + 8 + 66 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15022282987881 + 53582575680144 = 3875859^2 + 7320012^2 .

It is not a de Polignac number, because 68604858668025 - 235 = 68570498929657 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, 26215076517 + ... + 26215079133.

Almost surely, 268604858668025 is an apocalyptic number.

68604858668025 is the 8282805-th square number.

68604858668025 is the 4141403-rd centered octagonal number.

It is an amenable number.

68604858668025 is a deficient number, since it is larger than the sum of its proper divisors (54906386292468).

68604858668025 is an frugal number, since it uses more digits than its factorization.

68604858668025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 68604858668025 in words is "sixty-eight trillion, six hundred four billion, eight hundred fifty-eight million, six hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 211 225 633 1055 1899 2617 3165 5275 7851 9495 13085 15825 23553 39255 44521 47475 65425 117765 133563 196275 222605 400689 552187 588825 667815 1113025 1656561 2003445 2760935 3339075 4969683 6848689 8282805 10017225 13804675 20546067 24848415 34243445 41414025 61638201 102730335 116511457 124242075 171217225 308191005 349534371 513651675 582557285 1048603113 1445073379 1540955025 1747671855 2912786425 4335220137 5243015565 7225366895 8738359275 13005660411 21676100685 26215077825 36126834475 65028302055 108380503425 304910482969 325141510275 914731448907 1524552414845 2744194346721 4573657244535 7622762074225 13720971733605 22868286222675 68604858668025