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95519836230625 = 54313212492
BaseRepresentation
bin10101101101111111110001…
…111010000101001111100001
3110112012121101121210001000101
4111231333301322011033201
5100004444111033340000
6535053112412422401
726056036405344562
oct2555776172051741
9415177347701011
1095519836230625
112848780a39a844
12a868473a77a01
13413b635997021
141983282d04169
15b09a5439ce6a
hex56dff1e853e1

95519836230625 has 45 divisors (see below), whose sum is σ = 119840101417773. Its totient is φ = 76110742656000.

The previous prime is 95519836230617. The next prime is 95519836230653. The reversal of 95519836230625 is 52603263891559.

The square root of 95519836230625 is 9773425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 21179296797409 + 74340539433216 = 4602097^2 + 8622096^2 .

It is not a de Polignac number, because 95519836230625 - 23 = 95519836230617 is a prime.

It is a super-3 number, since 3×955198362306253 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76477050001 + ... + 76477051249.

Almost surely, 295519836230625 is an apocalyptic number.

95519836230625 is the 9773425-th square number.

95519836230625 is the 4886713-rd centered octagonal number.

It is an amenable number.

95519836230625 is a deficient number, since it is larger than the sum of its proper divisors (24320265187148).

95519836230625 is an frugal number, since it uses more digits than its factorization.

95519836230625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 64.

The spelling of 95519836230625 in words is "ninety-five trillion, five hundred nineteen billion, eight hundred thirty-six million, two hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 313 625 1249 1565 6245 7825 31225 39125 97969 156125 195625 390937 489845 780625 1560001 1954685 2449225 7800005 9773425 12246125 39000025 48867125 61230625 122363281 195000125 244335625 488280313 611816405 975000625 2441401565 3059082025 12207007825 15295410125 61035039125 76477050625 152831737969 305175195625 764158689845 3820793449225 19103967246125 95519836230625