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134828014829472 = 25323073671523107
BaseRepresentation
bin11110101010000000010111…
…111011011111111110100000
3122200101102200011200112001100
4132222000113323133332200
5120133010233244020342
61154431045051234400
740254000616506366
oct3652002773377640
9580342604615040
10134828014829472
1139a62270459618
12131566a5448a00
135a302c533ab53
1425419d4393636
15108c2bd03ae4c
hex7aa017edffa0

134828014829472 has 72 divisors (see below), whose sum is σ = 383418666330336. Its totient is φ = 44942495884416.

The previous prime is 134828014829471. The next prime is 134828014829479. The reversal of 134828014829472 is 274928410828431.

134828014829472 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 80 + 1 + 4 + 82 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (134828014829471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87760143 + ... + 89283249.

It is an arithmetic number, because the mean of its divisors is an integer number (5325259254588).

Almost surely, 2134828014829472 is an apocalyptic number.

134828014829472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134828014829472 is an abundant number, since it is smaller than the sum of its proper divisors (248590651500864).

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

134828014829472 is a wasteful number, since it uses less digits than its factorization.

134828014829472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830490 (or 1830479 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 134828014829472 in words is "one hundred thirty-four trillion, eight hundred twenty-eight billion, fourteen million, eight hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307367 614734 922101 1229468 1523107 1844202 2458936 2766303 3046214 3688404 4569321 4917872 5532606 6092428 7376808 9138642 9835744 11065212 12184856 13707963 14753616 18277284 22130424 24369712 27415926 29507232 36554568 44260848 48739424 54831852 73109136 88521696 109663704 146218272 219327408 438654816 468152829269 936305658538 1404458487807 1872611317076 2808916975614 3745222634152 4213375463421 5617833951228 7490445268304 8426750926842 11235667902456 14980890536608 16853501853684 22471335804912 33707003707368 44942671609824 67414007414736 134828014829472