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46034843064 = 23371999137077
BaseRepresentation
bin101010110111111000…
…111111010110111000
311101211020200022212120
4222313320333112320
51223234404434224
633051554241240
73216533465310
oct526770772670
9141736608776
1046034843064
1118583517a51
128b08b86220
13445842a812
142329c8a440
1512e6703779
hexab7e3f5b8

46034843064 has 64 divisors (see below), whose sum is σ = 131594880000. Its totient is φ = 13146136704.

The previous prime is 46034843017. The next prime is 46034843093.

46034843064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267294 + ... + 404370.

It is an arithmetic number, because the mean of its divisors is an integer number (2056170000).

Almost surely, 246034843064 is an apocalyptic number.

It is an amenable number.

46034843064 is an abundant number, since it is smaller than the sum of its proper divisors (85560036936).

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

46034843064 is a wasteful number, since it uses less digits than its factorization.

46034843064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139092 (or 139088 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 46034843064 in words is "forty-six billion, thirty-four million, eight hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1999 3998 5997 7996 11994 13993 15992 23988 27986 41979 47976 55972 83958 111944 137077 167916 274154 335832 411231 548308 822462 959539 1096616 1644924 1919078 2878617 3289848 3838156 5757234 7676312 11514468 23028936 274016923 548033846 822050769 1096067692 1644101538 1918118461 2192135384 3288203076 3836236922 5754355383 6576406152 7672473844 11508710766 15344947688 23017421532 46034843064