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5665660656160 = 255371153830041
BaseRepresentation
bin101001001110010001110…
…1100001101101000100000
3202001122001122002010002111
41102130203230031220200
51220311233111444120
620014434002325104
71123221231660451
oct122344354155040
922048048063074
105665660656160
11189487a81194a
12776062359794
1332136715292b
141583101d7128
159c59bc4875a
hex52723b0da20

5665660656160 has 96 divisors (see below), whose sum is σ = 13758822674352. Its totient is φ = 2203098808320.

The previous prime is 5665660656151. The next prime is 5665660656167. The reversal of 5665660656160 is 616560665665.

It can be written as a sum of positive squares in 8 ways, for example, as 5281741625616 + 383919030544 = 2298204^2 + 619612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5665660656095 and 5665660656104.

It is not an unprimeable number, because it can be changed into a prime (5665660656167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6410740 + ... + 7240780.

Almost surely, 25665660656160 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 5665660656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879411337176).

5665660656160 is an abundant number, since it is smaller than the sum of its proper divisors (8093162018192).

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

5665660656160 is a wasteful number, since it uses less digits than its factorization.

5665660656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831246 (or 831238 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 58.

The spelling of 5665660656160 in words is "five trillion, six hundred sixty-five billion, six hundred sixty million, six hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1153 1184 1480 2306 2960 4612 5765 5920 9224 11530 18448 23060 36896 42661 46120 85322 92240 170644 184480 213305 341288 426610 682576 830041 853220 1365152 1660082 1706440 3320164 3412880 4150205 6640328 6825760 8300410 13280656 16600820 26561312 30711517 33201640 61423034 66403280 122846068 132806560 153557585 245692136 307115170 491384272 614230340 957037273 982768544 1228460680 1914074546 2456921360 3828149092 4785186365 4913842720 7656298184 9570372730 15312596368 19140745460 30625192736 35410379101 38281490920 70820758202 76562981840 141641516404 153125963680 177051895505 283283032808 354103791010 566566065616 708207582020 1133132131232 1416415164040 2832830328080 5665660656160