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36008098564 = 2279212012
BaseRepresentation
bin100001100010001111…
…111111101100000100
310102221110120221012011
4201202033333230010
51042221033123224
624313014304004
72413212534124
oct414217775404
9112843527164
1036008098564
11142a86a6449
126b8b058004
13351b0380c9
141a58364c84
15e0b311394
hex8623ffb04

36008098564 has 27 divisors (see below), whose sum is σ = 63875101941. Its totient is φ = 17761348800.

The previous prime is 36008098549. The next prime is 36008098583. The reversal of 36008098564 is 46589080063.

It is a happy number.

The square root of 36008098564 is 189758.

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

36008098564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59938564 + 35948160000 = 7742^2 + 189600^2 .

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, 29981164 + ... + 29982364.

Almost surely, 236008098564 is an apocalyptic number.

36008098564 is the 189758-th square number.

It is an amenable number.

36008098564 is a deficient number, since it is larger than the sum of its proper divisors (27867003377).

36008098564 is an frugal number, since it uses more digits than its factorization.

36008098564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 36008098564 by its sum of digits (49), we get a square (1764396829636 = 13283062).

The spelling of 36008098564 in words is "thirty-six billion, eight million, ninety-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 79 158 316 1201 2402 4804 6241 12482 24964 94879 189758 379516 1442401 2884802 5769604 7495441 14990882 29981764 113949679 227899358 455798716 9002024641 18004049282 36008098564