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5634604096 = 261128532
BaseRepresentation
bin1010011111101100…
…10011110001000000
3112112200111112201121
411033312103301000
543014424312341
62331041042024
7256426226122
oct51766236100
915480445647
105634604096
112431650500
121113026314
136ba481c84
143b6495212
1522ea0c4d1
hex14fd93c40

5634604096 has 63 divisors (see below), whose sum is σ = 12304468533. Its totient is φ = 2558181120.

The previous prime is 5634604093. The next prime is 5634604111. The reversal of 5634604096 is 6904064365.

The square root of 5634604096 is 75064.

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

It can be written as a sum of positive squares in only one way, i.e., 325441600 + 5309162496 = 18040^2 + 72864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5634604093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6605206 + ... + 6606058.

Almost surely, 25634604096 is an apocalyptic number.

5634604096 is the 75064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5634604096

5634604096 is an abundant number, since it is smaller than the sum of its proper divisors (6669864437).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5634604096 is an frugal number, since it uses more digits than its factorization.

5634604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The cubic root of 5634604096 is about 1779.4582469478.

The spelling of 5634604096 in words is "five billion, six hundred thirty-four million, six hundred four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 853 968 1706 1936 3412 3872 6824 7744 9383 13648 18766 27296 37532 54592 75064 103213 150128 206426 300256 412852 600512 727609 825704 1455218 1651408 2910436 3302816 5820872 6605632 8003699 11641744 16007398 23283488 32014796 46566976 64029592 88040689 128059184 176081378 256118368 352162756 512236736 704325512 1408651024 2817302048 5634604096