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5362332576 = 253172347557
BaseRepresentation
bin1001111111001111…
…01011001110100000
3111211201011201102020
410333213223032200
541440224120301
62244033221440
7246612034446
oct47747531640
914751151366
105362332576
112301995917
121057a01880
13675c42273
1438c25cb96
15215b79436
hex13f9eb3a0

5362332576 has 144 divisors (see below), whose sum is σ = 15022850976. Its totient is φ = 1674440704.

The previous prime is 5362332571. The next prime is 5362332643. The reversal of 5362332576 is 6752332635.

It is a super-2 number, since 2×53623325762 = 57509221311261591552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5362332571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9626890 + ... + 9627446.

It is an arithmetic number, because the mean of its divisors is an integer number (104325354).

Almost surely, 25362332576 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 5362332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511425488).

5362332576 is an abundant number, since it is smaller than the sum of its proper divisors (9660518400).

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

5362332576 is a wasteful number, since it uses less digits than its factorization.

5362332576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 926 counting only the distinct ones).

The product of its digits is 680400, while the sum is 42.

The square root of 5362332576 is about 73227.9494182378. The cubic root of 5362332576 is about 1750.3218538362.

The spelling of 5362332576 in words is "five billion, three hundred sixty-two million, three hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 347 408 544 557 578 694 816 867 1041 1114 1156 1388 1632 1671 1734 2082 2228 2312 2776 3342 3468 4164 4456 4624 5552 5899 6684 6936 8328 8912 9248 9469 11104 11798 13368 13872 16656 17697 17824 18938 23596 26736 27744 28407 33312 35394 37876 47192 53472 56814 70788 75752 94384 100283 113628 141576 151504 160973 188768 193279 200566 227256 283152 300849 303008 321946 386558 401132 454512 482919 566304 579837 601698 643892 773116 802264 909024 965838 1159674 1203396 1287784 1546232 1604528 1931676 2319348 2406792 2575568 3092464 3209056 3285743 3863352 4638696 4813584 5151136 6184928 6571486 7726704 9277392 9627168 9857229 13142972 15453408 18554784 19714458 26285944 39428916 52571888 55857631 78857832 105143776 111715262 157715664 167572893 223430524 315431328 335145786 446861048 670291572 893722096 1340583144 1787444192 2681166288 5362332576