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34518716166872 = 2378954647126739
BaseRepresentation
bin1111101100101000000111…
…10100001011001011011000
311112012221211200100221221102
413312110003310023023120
514011023312314314442
6201225402420530532
710161615652151120
oct766240364131330
9145187750327842
1034518716166872
11aaa933a414323
123a55b60250a48
131635140a95bb2
14874a014c1c80
153ecd9ea88232
hex1f6503d0b2d8

34518716166872 has 64 divisors (see below), whose sum is σ = 74801745216000. Its totient is φ = 14627130667776.

The previous prime is 34518716166863. The next prime is 34518716166877. The reversal of 34518716166872 is 27866161781543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34518716166799 and 34518716166808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34518716166877) 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, 272297279 + ... + 272424017.

It is an arithmetic number, because the mean of its divisors is an integer number (1168777269000).

Almost surely, 234518716166872 is an apocalyptic number.

It is an amenable number.

34518716166872 is an abundant number, since it is smaller than the sum of its proper divisors (40283029049128).

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

34518716166872 is a wasteful number, since it uses less digits than its factorization.

34518716166872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181488 (or 181484 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 65.

The spelling of 34518716166872 in words is "thirty-four trillion, five hundred eighteen billion, seven hundred sixteen million, one hundred sixty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 2492 4984 54647 109294 126739 218588 253478 382529 437176 506956 765058 887173 1013912 1530116 1774346 3060232 3548692 4863583 7097384 9727166 11279771 19454332 22559542 34045081 38908664 45119084 68090162 78958397 90238168 136180324 157916794 272360648 315833588 631667176 6925906133 13851812266 27703624532 48481342931 55407249064 96962685862 193925371724 387850743448 616405645837 1232811291674 2465622583348 4314839520859 4931245166696 8629679041718 17259358083436 34518716166872