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5660204064 = 253717571097
BaseRepresentation
bin1010100010101111…
…11101110000100000
3112121110200011021120
411101113331300200
543043003012224
62333353452240
7260156640444
oct52127756040
915543604246
105660204064
1124450460a9
12111b711080
136c2876298
143b9a3a824
15231db7779
hex1515fdc20

5660204064 has 96 divisors (see below), whose sum is σ = 15100960896. Its totient is φ = 1856010240.

The previous prime is 5660204041. The next prime is 5660204083. The reversal of 5660204064 is 4604020665.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56602040642 = 64075820092244232192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5159164 + ... + 5160260.

It is an arithmetic number, because the mean of its divisors is an integer number (157301676).

Almost surely, 25660204064 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 5660204064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550480448).

5660204064 is an abundant number, since it is smaller than the sum of its proper divisors (9440756832).

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

5660204064 is a wasteful number, since it uses less digits than its factorization.

5660204064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 5660204064 is about 75234.3276968699. The cubic root of 5660204064 is about 1782.1490753642.

The spelling of 5660204064 in words is "five billion, six hundred sixty million, two hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 757 852 1097 1136 1514 1704 2194 2271 2272 3028 3291 3408 4388 4542 6056 6582 6816 8776 9084 12112 13164 17552 18168 24224 26328 35104 36336 52656 53747 72672 77887 105312 107494 155774 161241 214988 233661 311548 322482 429976 467322 623096 644964 830429 859952 934644 1246192 1289928 1660858 1719904 1869288 2491287 2492384 2579856 3321716 3738576 4982574 5159712 6643432 7477152 9965148 13286864 19930296 26573728 39860592 58960459 79721184 117920918 176881377 235841836 353762754 471683672 707525508 943367344 1415051016 1886734688 2830102032 5660204064