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76590187502725 = 52134189280123057
BaseRepresentation
bin10001011010100010001010…
…111010110101110010000101
3101001011221122212001212110001
4101122202022322311302011
540014323201000041400
6430521014005001301
722063313150114401
oct2132421272656205
9331157585055401
1076590187502725
1122449797163696
12870b8369b3231
133397567b066a0
1414cadb0624101
158cc447129a6a
hex45a88aeb5c85

76590187502725 has 96 divisors (see below), whose sum is σ = 105991562668320. Its totient is φ = 54537584640000.

The previous prime is 76590187502687. The next prime is 76590187502749. The reversal of 76590187502725 is 52720578109567.

It is a Cunningham number, because it is equal to 87515822+1.

It can be written as a sum of positive squares in 48 ways, for example, as 75824770738564 + 765416764161 = 8707742^2 + 874881^2 .

It is not a de Polignac number, because 76590187502725 - 235 = 76555827764357 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3321764397 + ... + 3321787453.

It is an arithmetic number, because the mean of its divisors is an integer number (1104078777795).

Almost surely, 276590187502725 is an apocalyptic number.

It is an amenable number.

76590187502725 is a deficient number, since it is larger than the sum of its proper divisors (29401375165595).

76590187502725 is a wasteful number, since it uses less digits than its factorization.

76590187502725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26011 (or 26006 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 64.

The spelling of 76590187502725 in words is "seventy-six trillion, five hundred ninety billion, one hundred eighty-seven million, five hundred two thousand, seven hundred twenty-five".

Divisors: 1 5 13 25 41 65 89 205 325 445 533 1025 1157 2225 2665 2801 3649 5785 13325 14005 18245 23057 28925 36413 47437 70025 91225 114841 115285 182065 237185 249289 299741 574205 576425 910325 945337 1185925 1246445 1492933 1498705 2052073 2871025 3240757 4726685 6232225 7464665 7493525 10220849 10260365 12289381 16203785 23633425 26676949 37323325 51104245 51301825 61446905 64582657 81018925 84134993 132871037 133384745 255521225 307234525 322913285 420674965 664355185 666923725 839574541 1093754909 1614566425 2103374825 2647888937 3321775925 4197872705 5468774545 5747856473 13239444685 20989363525 27343872725 28739282365 34422556181 66197223425 74722134149 143696411825 172112780905 235662115393 373610670745 860563904525 1178310576965 1868053353725 3063607500109 5891552884825 15318037500545 76590187502725