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91678756225 = 52724122112
BaseRepresentation
bin101010101100001111…
…0101100110110000001
322202122020202100201211
41111120132230312001
53000224230144400
6110041105530121
76423612366400
oct1253036546601
9282566670654
1091678756225
11359762a4531
1215927043941
138850871264
144619c53637
1525b8935dba
hex15587acd81

91678756225 has 81 divisors (see below), whose sum is σ = 136191452553. Its totient is φ = 61041456000.

The previous prime is 91678756207. The next prime is 91678756241. The reversal of 91678756225 is 52265787619.

The square root of 91678756225 is 302785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38589066481 + 53089689744 = 196441^2 + 230412^2 .

It is not a de Polignac number, because 91678756225 - 25 = 91678756193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91678756225.

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, 434496370 + ... + 434496580.

Almost surely, 291678756225 is an apocalyptic number.

91678756225 is the 302785-th square number.

91678756225 is the 151393-rd centered octagonal number.

It is an amenable number.

91678756225 is a deficient number, since it is larger than the sum of its proper divisors (44512696328).

91678756225 is an equidigital number, since it uses as much as digits as its factorization.

91678756225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 58.

The spelling of 91678756225 in words is "ninety-one billion, six hundred seventy-eight million, seven hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 211 245 287 1025 1055 1225 1435 1477 1681 2009 5275 7175 7385 8405 8651 10045 10339 11767 36925 42025 43255 44521 50225 51695 58835 60557 82369 216275 222605 258475 294175 302785 311647 354691 411845 423899 1113025 1513925 1558235 1773455 1825361 2059225 2119495 2181529 2482837 7791175 8867275 9126805 10597475 10907645 12414185 12777527 17379859 45634025 54538225 62070925 63887635 74839801 86899295 89442689 319438175 374199005 434496475 447213445 523878607 1870995025 2236067225 2619393035 3667150249 13096965175 18335751245 91678756225