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114764064688 = 24713197400109
BaseRepresentation
bin110101011100001111…
…0001010011110110000
3101222020002211112112101
41222320132022132300
53340014100032223
6124415532110144
711201650311610
oct1527036123660
9358202745471
10114764064688
1144742360459
121a2aa305354
13aa8c4cbab0
1457a9bcaa40
152eba4974ad
hex1ab878a7b0

114764064688 has 80 divisors (see below), whose sum is σ = 275058020160. Its totient is φ = 45170592768.

The previous prime is 114764064677. The next prime is 114764064703. The reversal of 114764064688 is 886460467411.

It is a super-2 number, since 2×1147640646882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86778 + ... + 486886.

It is an arithmetic number, because the mean of its divisors is an integer number (3438225252).

Almost surely, 2114764064688 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 114764064688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137529010080).

114764064688 is an abundant number, since it is smaller than the sum of its proper divisors (160293955472).

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

114764064688 is a wasteful number, since it uses less digits than its factorization.

114764064688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400334 (or 400328 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 114764064688 in words is "one hundred fourteen billion, seven hundred sixty-four million, sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 197 208 364 394 728 788 1379 1456 1576 2561 2758 3152 5122 5516 10244 11032 17927 20488 22064 35854 40976 71708 143416 286832 400109 800218 1600436 2800763 3200872 5201417 5601526 6401744 10402834 11203052 20805668 22406104 36409919 41611336 44812208 72819838 78821473 83222672 145639676 157642946 291279352 315285892 551750311 582558704 630571784 1024679149 1103500622 1261143568 2049358298 2207001244 4098716596 4414002488 7172754043 8197433192 8828004976 14345508086 16394866384 28691016172 57382032344 114764064688