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5379057768 = 2337533891553
BaseRepresentation
bin1010000001001110…
…11110100001101000
3111212212122110001210
411000213132201220
542004014322033
62245431513120
7250204144110
oct50047364150
914785573053
105379057768
112310379797
1210615287a0
13679549c26
14390574040
1521737ed63
hex1409de868

5379057768 has 128 divisors (see below), whose sum is σ = 15709075200. Its totient is φ = 1503031296.

The previous prime is 5379057763. The next prime is 5379057769. The reversal of 5379057768 is 8677509735.

It is a super-2 number, since 2×53790577682 = 57868524942962283648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5379057763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3462880 + ... + 3464432.

It is an arithmetic number, because the mean of its divisors is an integer number (122727150).

Almost surely, 25379057768 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 5379057768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854537600).

5379057768 is an abundant number, since it is smaller than the sum of its proper divisors (10330017432).

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

5379057768 is a wasteful number, since it uses less digits than its factorization.

5379057768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 57.

The square root of 5379057768 is about 73342.0600201549. The cubic root of 5379057768 is about 1752.1397247877.

The spelling of 5379057768 in words is "five billion, three hundred seventy-nine million, fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 389 424 636 742 778 1113 1167 1272 1484 1553 1556 2226 2334 2723 2968 3106 3112 4452 4659 4668 5446 6212 8169 8904 9318 9336 10871 10892 12424 16338 18636 20617 21742 21784 32613 32676 37272 41234 43484 61851 65226 65352 82309 82468 86968 123702 130452 144319 164618 164936 246927 247404 260904 288638 329236 432957 493854 494808 576163 577276 604117 658472 865914 987708 1152326 1154552 1208234 1728489 1731828 1812351 1975416 2304652 2416468 3456978 3463656 3624702 4228819 4609304 4832936 6913956 7249404 8457638 12686457 13827912 14498808 16915276 25372914 32018201 33830552 50745828 64036402 96054603 101491656 128072804 192109206 224127407 256145608 384218412 448254814 672382221 768436824 896509628 1344764442 1793019256 2689528884 5379057768