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5317909776 = 24325921032
BaseRepresentation
bin1001111001111100…
…01101110100010000
3111201121120210210100
410330332031310100
541342341103101
62235405132400
7245532326064
oct47476156420
914647523710
105317909776
112289904363
121044b5a100
1366998a59a
143863b7aa4
15211d01e86
hex13cf8dd10

5317909776 has 135 divisors (see below), whose sum is σ = 15287697399. Its totient is φ = 1725673536.

The previous prime is 5317909769. The next prime is 5317909801. The reversal of 5317909776 is 6779097135.

The square root of 5317909776 is 72924.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51630141 + ... + 51630243.

Almost surely, 25317909776 is an apocalyptic number.

5317909776 is the 72924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5317909776

5317909776 is an abundant number, since it is smaller than the sum of its proper divisors (9969787623).

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

5317909776 is a wasteful number, since it uses less digits than its factorization.

5317909776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The cubic root of 5317909776 is about 1745.4750885248.

The spelling of 5317909776 in words is "five billion, three hundred seventeen million, nine hundred nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 103 118 144 177 206 236 309 354 412 472 531 618 708 824 927 944 1062 1236 1416 1648 1854 2124 2472 2832 3481 3708 4248 4944 6077 6962 7416 8496 10443 10609 12154 13924 14832 18231 20886 21218 24308 27848 31329 31827 36462 41772 42436 48616 54693 55696 62658 63654 72924 83544 84872 95481 97232 109386 125316 127308 145848 167088 169744 190962 218772 250632 254616 291696 358543 381924 437544 501264 509232 625931 717086 763848 875088 1075629 1251862 1434172 1527696 1877793 2151258 2503724 2868344 3226887 3755586 4302516 5007448 5633379 5736688 6453774 7511172 8605032 10014896 11266758 12907548 15022344 17210064 22533516 25815096 30044688 36929929 45067032 51630192 73859858 90134064 110789787 147719716 221579574 295439432 332369361 443159148 590878864 664738722 886318296 1329477444 1772636592 2658954888 5317909776