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3699520968 = 23311135212069
BaseRepresentation
bin1101110010000010…
…0011010111001000
3100112211022010201010
43130200203113020
530034034132333
61411033323520
7160451260263
oct33440432710
910484263633
103699520968
111629312950
12872b665a0
1346c5b6880
14271497cda
15169bbe563
hexdc8235c8

3699520968 has 128 divisors (see below), whose sum is σ = 10891843200. Its totient is φ = 1032345600.

The previous prime is 3699520949. The next prime is 3699520969. The reversal of 3699520968 is 8690259963.

It is not an unprimeable number, because it can be changed into a prime (3699520969) 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, 1787038 + ... + 1789106.

It is an arithmetic number, because the mean of its divisors is an integer number (85092525).

Almost surely, 23699520968 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 3699520968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445921600).

3699520968 is an abundant number, since it is smaller than the sum of its proper divisors (7192322232).

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

3699520968 is a wasteful number, since it uses less digits than its factorization.

3699520968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The square root of 3699520968 is about 60823.6875567406. The cubic root of 3699520968 is about 1546.6136222973.

The spelling of 3699520968 in words is "three billion, six hundred ninety-nine million, five hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 521 572 858 1042 1144 1563 1716 2069 2084 3126 3432 4138 4168 5731 6207 6252 6773 8276 11462 12414 12504 13546 16552 17193 20319 22759 22924 24828 26897 27092 34386 40638 45518 45848 49656 53794 54184 68277 68772 74503 80691 81276 91036 107588 136554 137544 149006 161382 162552 182072 215176 223509 273108 295867 298012 322764 447018 546216 591734 596024 645528 887601 894036 1077949 1183468 1775202 1788072 2155898 2366936 3233847 3550404 4311796 6467694 7100808 8623592 11857439 12935388 14013337 23714878 25870776 28026674 35572317 42040011 47429756 56053348 71144634 84080022 94859512 112106696 142289268 154146707 168160044 284578536 308293414 336320088 462440121 616586828 924880242 1233173656 1849760484 3699520968