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34738424678912 = 291135323112799
BaseRepresentation
bin1111110011000001010110…
…11101101000101000000000
311112222221221112200210101012
413321200223131220220000
514023123243204211122
6201514340104500052
710213524355533653
oct771405335505000
9145887845623335
1034738424678912
11100835351142a9
123a9065817a628
13164ca862823c6
148814c4c8d89a
1540395d39b7e2
hex1f982b768a00

34738424678912 has 80 divisors (see below), whose sum is σ = 70037015558400. Its totient is φ = 17212115730432.

The previous prime is 34738424678899. The next prime is 34738424678941. The reversal of 34738424678912 is 21987642483743.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307911089 + ... + 308023887.

It is an arithmetic number, because the mean of its divisors is an integer number (875462694480).

Almost surely, 234738424678912 is an apocalyptic number.

34738424678912 is a gapful number since it is divisible by the number (32) 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 34738424678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35018507779200).

34738424678912 is an abundant number, since it is smaller than the sum of its proper divisors (35298590879488).

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

34738424678912 is a wasteful number, since it uses less digits than its factorization.

34738424678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118253 (or 118237 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 68.

The spelling of 34738424678912 in words is "thirty-four trillion, seven hundred thirty-eight billion, four hundred twenty-four million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3616 5323 7232 10646 14464 21292 28928 42584 57856 85168 112799 170336 225598 340672 451196 601499 681344 902392 1202998 1362688 1804784 2405996 2725376 3609568 4811992 7219136 9623984 12746287 14438272 19247968 25492574 28876544 38495936 50985148 57753088 76991872 101970296 153983744 203940592 307967488 407881184 600429077 815762368 1200858154 1631524736 2401716308 3263049472 4803432616 6526098944 9606865232 19213730464 38427460928 67848485701 76854921856 135696971402 153709843712 271393942804 307419687424 542787885608 1085575771216 2171151542432 4342303084864 8684606169728 17369212339456 34738424678912