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5238576816 = 24311531311429
BaseRepresentation
bin1001110000011111…
…00101011010110000
3111112002022021102120
410320033211122300
541212033424231
62223452514240
7243550111464
oct47017453260
914462267376
105238576816
112249049330
12102247b980
136564019c5
14379a464a4
15209d80d96
hex1383e56b0

5238576816 has 160 divisors (see below), whose sum is σ = 15167243520. Its totient is φ = 1544524800.

The previous prime is 5238576803. The next prime is 5238576823. The reversal of 5238576816 is 6186758325.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3665190 + ... + 3666618.

It is an arithmetic number, because the mean of its divisors is an integer number (94795272).

Almost surely, 25238576816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5238576816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583621760).

5238576816 is an abundant number, since it is smaller than the sum of its proper divisors (9928666704).

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

5238576816 is a wasteful number, since it uses less digits than its factorization.

5238576816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 5238576816 is about 72378.0133465958. The cubic root of 5238576816 is about 1736.7518581327.

The spelling of 5238576816 in words is "five billion, two hundred thirty-eight million, five hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 131 132 159 176 212 262 264 318 393 424 524 528 583 636 786 848 1048 1166 1272 1429 1441 1572 1749 2096 2332 2544 2858 2882 3144 3498 4287 4323 4664 5716 5764 6288 6943 6996 8574 8646 9328 11432 11528 13886 13992 15719 17148 17292 20829 22864 23056 27772 27984 31438 34296 34584 41658 47157 55544 62876 68592 69168 75737 76373 83316 94314 111088 125752 151474 152746 166632 187199 188628 227211 229119 251504 302948 305492 333264 374398 377256 454422 458238 561597 605896 610984 748796 754512 833107 908844 916476 1123194 1211792 1221968 1497592 1666214 1817688 1832952 2059189 2246388 2499321 2995184 3332428 3635376 3665904 4118378 4492776 4998642 6177567 6664856 8236756 8985552 9921547 9997284 12355134 13329712 16473512 19843094 19994568 24710268 29764641 32947024 39686188 39989136 49420536 59529282 79372376 98841072 109137017 119058564 158744752 218274034 238117128 327411051 436548068 476234256 654822102 873096136 1309644204 1746192272 2619288408 5238576816