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20479111614 = 23213976831321
BaseRepresentation
bin10011000100101001…
…100111000110111110
31221212020001122211100
4103010221213012332
5313420123032424
613224042233530
71323330401523
oct230451470676
957766048740
1020479111614
118759a19735
123b764b58a6
131c14a28130
14dc3ba114a
157ecd59dc9
hex4c4a671be

20479111614 has 96 divisors (see below), whose sum is σ = 48384501984. Its totient is φ = 6222458880.

The previous prime is 20479111573. The next prime is 20479111621. The reversal of 20479111614 is 41611197402.

20479111614 is a `hidden beast` number, since 20 + 4 + 7 + 9 + 1 + 11 + 614 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15502074 + ... + 15503394.

It is an arithmetic number, because the mean of its divisors is an integer number (504005229).

Almost surely, 220479111614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20479111614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192250992).

20479111614 is an abundant number, since it is smaller than the sum of its proper divisors (27905390370).

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

20479111614 is a wasteful number, since it uses less digits than its factorization.

20479111614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20479111614 in words is "twenty billion, four hundred seventy-nine million, one hundred eleven thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 683 873 1261 1321 1366 1746 2049 2522 2642 3783 3963 4098 6147 7566 7926 8879 11349 11889 12294 17173 17758 22698 23778 26637 34346 51519 53274 66251 79911 103038 128137 132502 154557 159822 198753 256274 309114 384411 397506 596259 768822 861263 902243 1153233 1192518 1665781 1722526 1804486 2306466 2583789 2706729 3331562 4997343 5167578 5413458 7751367 8120187 9994686 11729159 14992029 15502734 16240374 23458318 29984058 35187477 70374954 87517571 105562431 175035142 211124862 262552713 525105426 787658139 1137728423 1575316278 2275456846 3413185269 6826370538 10239555807 20479111614