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36528765625 = 561121392
BaseRepresentation
bin100010000001010010…
…001011101010111001
310111021202022120010101
4202001102023222321
51044302331000000
624440414115401
72432134245652
oct420122135271
9114252276111
1036528765625
1114545599300
1270b54abb61
1335a1b78121
141aa757a529
15e3bdace6a
hex88148bab9

36528765625 has 63 divisors (see below), whose sum is σ = 50552341203. Its totient is φ = 26375250000.

The previous prime is 36528765617. The next prime is 36528765643. The reversal of 36528765625 is 52656782563.

It is a happy number.

The square root of 36528765625 is 191125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 32002705449 + 4526060176 = 178893^2 + 67276^2 .

It is not a de Polignac number, because 36528765625 - 23 = 36528765617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 262796806 + ... + 262796944.

Almost surely, 236528765625 is an apocalyptic number.

36528765625 is the 191125-th square number.

36528765625 is the 95563-rd centered octagonal number.

It is an amenable number.

36528765625 is a deficient number, since it is larger than the sum of its proper divisors (14023575578).

36528765625 is an frugal number, since it uses more digits than its factorization.

36528765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 155 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 55.

The spelling of 36528765625 in words is "thirty-six billion, five hundred twenty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 139 275 605 625 695 1375 1529 3025 3125 3475 6875 7645 15125 15625 16819 17375 19321 34375 38225 75625 84095 86875 96605 171875 191125 212531 378125 420475 434375 483025 955625 1062655 1890625 2102375 2171875 2337841 2415125 4778125 5313275 10511875 11689205 12075625 23890625 26566375 52559375 58446025 60378125 132831875 262796875 292230125 301890625 664159375 1461150625 3320796875 7305753125 36528765625