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26329131340864 = 26112583092
BaseRepresentation
bin1011111110010001110101…
…00001010101010001000000
310110020001002102200112100121
411333020322201111101000
511422334030110401424
6131555234100030024
75355134263540402
oct577107241252100
9113201072615317
1026329131340864
118431138274300
122b52918992314
13118ca98895221
146704a00b8b72
15309d33c1aee4
hex17f23a855440

26329131340864 has 63 divisors (see below), whose sum is σ = 57429362687781. Its totient is φ = 11967581725440.

The previous prime is 26329131340843. The next prime is 26329131340871. The reversal of 26329131340864 is 46804313192362.

The square root of 26329131340864 is 5131192.

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

It can be written as a sum of positive squares in only one way, i.e., 12551375155264 + 13777756185600 = 3542792^2 + 3711840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 451515742 + ... + 451574050.

Almost surely, 226329131340864 is an apocalyptic number.

26329131340864 is the 5131192-nd square number.

It is an amenable number.

26329131340864 is an abundant number, since it is smaller than the sum of its proper divisors (31100231346917).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26329131340864 is an frugal number, since it uses more digits than its factorization.

26329131340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116652 (or 58322 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 26329131340864 in words is "twenty-six trillion, three hundred twenty-nine billion, one hundred thirty-one million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 58309 116618 233236 466472 641399 932944 1282798 1865888 2565596 3731776 5131192 7055389 10262384 14110778 20524768 28221556 41049536 56443112 112886224 225772448 451544896 3399939481 6799878962 13599757924 27199515848 37399334291 54399031696 74798668582 108798063392 149597337164 217596126784 299194674328 411392677201 598389348656 822785354402 1196778697312 1645570708804 2393557394624 3291141417608 6582282835216 13164565670432 26329131340864