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95623811361 = 361328812
BaseRepresentation
bin101100100001110011…
…1111001000100100001
3100010211012001221000000
41121003213321010201
53031314143430421
6111532354050213
76623434662021
oct1310347710441
9303735057000
1095623811361
113761016a881
1216648279969
13902bc95900
1448b1b83a81
152749e56226
hex16439f9121

95623811361 has 63 divisors (see below), whose sum is σ = 155423363817. Its totient is φ = 58778628480.

The previous prime is 95623811323. The next prime is 95623811369. The reversal of 95623811361 is 16311832659.

The square root of 95623811361 is 309231.

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

95623811361 is a `hidden beast` number, since 9 + 5 + 623 + 8 + 1 + 13 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43842078225 + 51781733136 = 209385^2 + 227556^2 .

It is not a de Polignac number, because 95623811361 - 27 = 95623811233 is a prime.

It is a super-4 number, since 4×956238113614 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (95623811369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 108539641 + ... + 108540521.

Almost surely, 295623811361 is an apocalyptic number.

95623811361 is the 309231-st square number.

95623811361 is the 154616-th centered octagonal number.

It is an amenable number.

95623811361 is a deficient number, since it is larger than the sum of its proper divisors (59799552456).

95623811361 is an frugal number, since it uses more digits than its factorization.

95623811361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 897 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 95623811361 in words is "ninety-five billion, six hundred twenty-three million, eight hundred eleven thousand, three hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 881 1053 1521 2643 3159 4563 7929 9477 11453 13689 23787 34359 41067 71361 103077 123201 148889 214083 309231 446667 642249 776161 927693 1340001 2328483 2783079 4020003 6985449 8349237 10090093 12060009 20956347 30270279 36180027 62869041 90810837 108540081 131171209 188607123 272432511 393513627 565821369 817297533 1180540881 2451892599 3541622643 7355677797 10624867929 31874603787 95623811361