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114699786656 = 2571361763839
BaseRepresentation
bin110101011010010100…
…0111101100110100000
3101222001121212212122112
41222310220331212200
53334401121133111
6124405314254452
711200240046240
oct1526450754640
9358047785575
10114699786656
114470a048414
121a290887428
13aa7c0b4860
1457a1457b20
152eb49ebe8b
hex1ab4a3d9a0

114699786656 has 96 divisors (see below), whose sum is σ = 278381214720. Its totient is φ = 45301487616.

The previous prime is 114699786559. The next prime is 114699786673. The reversal of 114699786656 is 656687996411.

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, 1764785 + ... + 1828623.

It is an arithmetic number, because the mean of its divisors is an integer number (2899804320).

Almost surely, 2114699786656 is an apocalyptic number.

114699786656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114699786656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139190607360).

114699786656 is an abundant number, since it is smaller than the sum of its proper divisors (163681428064).

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

114699786656 is a wasteful number, since it uses less digits than its factorization.

114699786656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64486 (or 64478 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 68.

The spelling of 114699786656 in words is "one hundred fourteen billion, six hundred ninety-nine million, seven hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 617 728 1234 1456 2468 2912 4319 4936 8021 8638 9872 16042 17276 19744 32084 34552 56147 63839 64168 69104 112294 127678 128336 138208 224588 255356 256672 446873 449176 510712 829907 893746 898352 1021424 1659814 1787492 1796704 2042848 3319628 3574984 5809349 6639256 7149968 11618698 13278512 14299936 23237396 26557024 39388663 46474792 78777326 92949584 157554652 185899168 275720641 315109304 512052619 551441282 630218608 1024105238 1102882564 1260437216 2048210476 2205765128 3584368333 4096420952 4411530256 7168736666 8192841904 8823060512 14337473332 16385683808 28674946664 57349893328 114699786656