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84014875758816 = 2532535504119219
BaseRepresentation
bin10011000110100100111100…
…110100110101000011100000
3102000110202002010220120101100
4103012210330310311003200
542002444431143240231
6454403522345434400
723460605641025622
oct2306447464650340
9360422063816340
1084014875758816
1124851566114562
12950a78ba9ba00
1337b57518264b2
1416a64ad816c12
159aa6468661e6
hex4c693cd350e0

84014875758816 has 72 divisors (see below), whose sum is σ = 243425176623720. Its totient is φ = 27476563136256.

The previous prime is 84014875758811. The next prime is 84014875758871. The reversal of 84014875758816 is 61885757841048.

84014875758816 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 48 + 7 + 575 + 8 + 8 + 1 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84014875758811) 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, 2752044346 + ... + 2752074873.

It is an arithmetic number, because the mean of its divisors is an integer number (3380905230885).

Almost surely, 284014875758816 is an apocalyptic number.

It is an amenable number.

84014875758816 is an abundant number, since it is smaller than the sum of its proper divisors (159410300864904).

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

84014875758816 is a wasteful number, since it uses less digits than its factorization.

84014875758816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504119288 (or 5504119277 counting only the distinct ones).

The product of its (nonzero) digits is 481689600, while the sum is 72.

The spelling of 84014875758816 in words is "eighty-four trillion, fourteen billion, eight hundred seventy-five million, seven hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 5504119219 11008238438 16512357657 22016476876 33024715314 44032953752 49537072971 66049430628 88065907504 99074145942 132098861256 176131815008 198148291884 264197722512 291718318607 396296583768 528395445024 583436637214 792593167536 875154955821 1166873274428 1585186335072 1750309911642 2333746548856 2625464867463 3500619823284 4667493097712 5250929734926 7001239646568 9334986195424 10501859469852 14002479293136 21003718939704 28004958586272 42007437879408 84014875758816