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134080746800672 = 2572574495187271
BaseRepresentation
bin11110011111001000011011…
…010010001100011000100000
3122120201222211210001110122002
4132133020123102030120200
5120033234332140110142
61153055502244103132
740146004620201620
oct3637103322143040
9576658753043562
10134080746800672
11397a4364100311
12130558b6994aa8
1359a79b612cbc9
142517785514880
151077b3438ba32
hex79f21b48c620

134080746800672 has 96 divisors (see below), whose sum is σ = 303530108716800. Its totient is φ = 57112091688960.

The previous prime is 134080746800669. The next prime is 134080746800683. The reversal of 134080746800672 is 276008647080431.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23254397 + ... + 28441667.

It is an arithmetic number, because the mean of its divisors is an integer number (3161771965800).

Almost surely, 2134080746800672 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 134080746800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151765054358400).

134080746800672 is an abundant number, since it is smaller than the sum of its proper divisors (169449361916128).

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

134080746800672 is a wasteful number, since it uses less digits than its factorization.

134080746800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187994 (or 5187986 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 134080746800672 in words is "one hundred thirty-four trillion, eighty billion, seven hundred forty-six million, eight hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 257 449 514 898 1028 1796 1799 2056 3143 3592 3598 4112 6286 7184 7196 8224 12572 14368 14392 25144 28784 50288 57568 100576 115393 230786 461572 807751 923144 1615502 1846288 3231004 3692576 5187271 6462008 10374542 12924016 20749084 25848032 36310897 41498168 72621794 82996336 145243588 165992672 290487176 580974352 1161948704 1333128647 2329084679 2666257294 4658169358 5332514588 9316338716 9331900529 10665029176 16303592753 18632677432 18663801058 21330058352 32607185506 37265354864 37327602116 42660116704 65214371012 74530709728 74655204232 130428742024 149310408464 260857484048 298620816928 521714968096 598574762503 1197149525006 2394299050012 4190023337521 4788598100024 8380046675042 9577196200048 16760093350084 19154392400096 33520186700168 67040373400336 134080746800672