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68207157225 = 32522327572
BaseRepresentation
bin111111100001011101…
…101001111111101001
320112001110210120221100
4333201131221333221
52104142013012400
651200044032013
74633144161534
oct774135517751
9215043716840
1068207157225
1126a21186829
1211276532609
13657cb9223c
143430883a1b
151b9301d100
hexfe1769fe9

68207157225 has 81 divisors (see below), whose sum is σ = 127878054213. Its totient is φ = 34749570240.

The previous prime is 68207157167. The next prime is 68207157233. The reversal of 68207157225 is 52275170286.

The square root of 68207157225 is 261165.

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

68207157225 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 71 + 572 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36036009 + 68171121216 = 6003^2 + 261096^2 .

It is not a de Polignac number, because 68207157225 - 219 = 68206632937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90101547 + ... + 90102303.

Almost surely, 268207157225 is an apocalyptic number.

68207157225 is the 261165-th square number.

68207157225 is the 130583-rd centered octagonal number.

It is an amenable number.

68207157225 is a deficient number, since it is larger than the sum of its proper divisors (59670896988).

68207157225 is an equidigital number, since it uses as much as digits as its factorization.

68207157225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 68207157225 in words is "sixty-eight billion, two hundred seven million, one hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 757 1035 1587 1725 2271 2645 3785 4761 5175 6813 7935 11355 13225 17411 18925 23805 34065 39675 52233 56775 87055 119025 156699 170325 261165 400453 435275 573049 783495 1201359 1305825 1719147 2002265 2865245 3604077 3917475 5157441 6006795 8595735 10011325 13180127 14326225 18020385 25787205 30033975 39540381 42978675 65900635 90101925 118621143 128936025 197701905 303142921 329503175 593105715 909428763 988509525 1515714605 2728286289 2965528575 4547143815 7578573025 13641431445 22735719075 68207157225