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36337890625 = 510612
BaseRepresentation
bin100001110101111010…
…000011010101000001
310110210110011002211221
4201311322003111001
51043410000000000
624405435035041
72424325655041
oct416572032501
9113713132757
1036337890625
1114457879073
12706159ba81
13357146733a
141a8a091721
15e2a25761a
hex875e83541

36337890625 has 33 divisors (see below), whose sum is σ = 46179198273. Its totient is φ = 28593750000.

The previous prime is 36337890607. The next prime is 36337890653. The reversal of 36337890625 is 52609873363.

The square root of 36337890625 is 190625.

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

It can be written as a sum of positive squares in 16 ways, for example, as 33986028609 + 2351862016 = 184353^2 + 48496^2 .

It is not a de Polignac number, because 36337890625 - 25 = 36337890593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 595703095 + ... + 595703155.

Almost surely, 236337890625 is an apocalyptic number.

36337890625 is the 190625-th square number.

36337890625 is the 95313-rd centered octagonal number.

It is an amenable number.

36337890625 is a deficient number, since it is larger than the sum of its proper divisors (9841307648).

36337890625 is an frugal number, since it uses more digits than its factorization.

36337890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 36337890625 in words is "thirty-six billion, three hundred thirty-seven million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 625 1525 3125 3721 7625 15625 18605 38125 78125 93025 190625 390625 465125 953125 1953125 2325625 4765625 9765625 11628125 23828125 58140625 119140625 290703125 595703125 1453515625 7267578125 36337890625