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34426589716704 = 25313114918372371
BaseRepresentation
bin1111101001111100100001…
…01001101010000011100000
311111220011001020012101120110
413310332100221222003200
514003021123431413304
6201115205035211320
710152144662225313
oct764762051520340
9144804036171513
1034426589716704
11aa732644397a9
123a4012b2a6b40
13162954b5547a3
1487038201097a
153ea7abbbc289
hex1f4f90a6a0e0

34426589716704 has 96 divisors (see below), whose sum is σ = 91670787331200. Its totient is φ = 11311500761600.

The previous prime is 34426589716669. The next prime is 34426589716709. The reversal of 34426589716704 is 40761798562443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34426589716709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7312362 + ... + 11060009.

It is an arithmetic number, because the mean of its divisors is an integer number (954904034700).

It is a 1-persistent number, because it is pandigital, but 2⋅34426589716704 = 68853179433408 is not.

Almost surely, 234426589716704 is an apocalyptic number.

It is an amenable number.

34426589716704 is an abundant number, since it is smaller than the sum of its proper divisors (57244197614496).

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

34426589716704 is a wasteful number, since it uses less digits than its factorization.

34426589716704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372664 (or 18372656 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 34426589716704 in words is "thirty-four trillion, four hundred twenty-six billion, five hundred eighty-nine million, seven hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 149 262 298 393 447 524 596 786 894 1048 1192 1572 1788 2096 2384 3144 3576 4192 4768 6288 7152 12576 14304 19519 39038 58557 78076 117114 156152 234228 312304 468456 624608 936912 1873824 18372371 36744742 55117113 73489484 110234226 146978968 220468452 293957936 440936904 587915872 881873808 1763747616 2406780601 2737483279 4813561202 5474966558 7220341803 8212449837 9627122404 10949933116 14440683606 16424899674 19254244808 21899866232 28881367212 32849799348 38508489616 43799732464 57762734424 65699598696 77016979232 87599464928 115525468848 131399197392 231050937696 262798394784 358610309549 717220619098 1075830928647 1434441238196 2151661857294 2868882476392 4303323714588 5737764952784 8606647429176 11475529905568 17213294858352 34426589716704