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5164434496 = 261326912
BaseRepresentation
bin1001100111101001…
…10000010001000000
3111022220210110021201
410303310300101000
541034043400441
62212243430544
7241656653224
oct46364602100
914286713251
105164434496
112210209091
121001685454
13643c42900
1436dc66784
152035d7c31
hex133d30440

5164434496 has 63 divisors (see below), whose sum is σ = 11113218693. Its totient is φ = 2380135680.

The previous prime is 5164434493. The next prime is 5164434563. The reversal of 5164434496 is 6944344615.

The square root of 5164434496 is 71864.

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., 763969600 + 4400464896 = 27640^2 + 66336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5164434493) 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, 7473511 + ... + 7474201.

Almost surely, 25164434496 is an apocalyptic number.

5164434496 is the 71864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5164434496

5164434496 is an abundant number, since it is smaller than the sum of its proper divisors (5948784197).

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

5164434496 is an frugal number, since it uses more digits than its factorization.

5164434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 706 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The cubic root of 5164434496 is about 1728.5193983344.

The spelling of 5164434496 in words is "five billion, one hundred sixty-four million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 691 832 1352 1382 2704 2764 5408 5528 8983 10816 11056 17966 22112 35932 44224 71864 116779 143728 233558 287456 467116 477481 574912 934232 954962 1868464 1909924 3736928 3819848 6207253 7473856 7639696 12414506 15279392 24829012 30558784 49658024 80694289 99316048 161388578 198632096 322777156 397264192 645554312 1291108624 2582217248 5164434496