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46134878107992 = 23319532186387313
BaseRepresentation
bin10100111110101100111010…
…00001010111100101011000
320001100110011222102100222220
422133112131001113211120
522021333212243423432
6242042023113144040
712501064200415362
oct1237263501274530
9201313158370886
1046134878107992
1113777767a5a363
1252112b93bb020
131c986673207cb
14b56d23585d32
15550119de372c
hex29f59d057958

46134878107992 has 128 divisors (see below), whose sum is σ = 123705357580800. Its totient is φ = 14293206300672.

The previous prime is 46134878107987. The next prime is 46134878108003. The reversal of 46134878107992 is 29970187843164.

It is a super-2 number, since 2×461348781079922 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528341328 + ... + 528428640.

It is an arithmetic number, because the mean of its divisors is an integer number (966448106100).

Almost surely, 246134878107992 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 46134878107992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61852678790400).

46134878107992 is an abundant number, since it is smaller than the sum of its proper divisors (77570479472808).

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

46134878107992 is a wasteful number, since it uses less digits than its factorization.

46134878107992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109257 (or 109253 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 46134878107992 in words is "forty-six trillion, one hundred thirty-four billion, eight hundred seventy-eight million, one hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 456 636 1007 1272 2014 3021 4028 6042 8056 12084 21863 24168 43726 65589 87313 87452 131178 174626 174904 261939 262356 349252 415397 523878 524712 698504 830794 1047756 1158739 1246191 1658947 1661588 2095512 2317478 2492382 3317894 3323176 3476217 4627589 4634956 4976841 4984764 6635788 6952434 9255178 9269912 9953682 9969528 13271576 13882767 13904868 18510356 19907364 22016041 27765534 27809736 37020712 39814728 44032082 55531068 66048123 87924191 88064164 111062136 132096246 175848382 176128328 263772573 264192492 351696764 527545146 528384984 703393528 1055090292 1908924119 2110180584 3817848238 5726772357 7635696476 11453544714 15271392952 22907089428 36269558261 45814178856 72539116522 101172978307 108808674783 145078233044 202345956614 217617349566 290156466088 303518934921 404691913228 435234699132 607037869842 809383826456 870469398264 1214075739684 1922286587833 2428151479368 3844573175666 5766859763499 7689146351332 11533719526998 15378292702664 23067439053996 46134878107992