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168509012724 = 2232133129034001
BaseRepresentation
bin1001110011101111101…
…0110111101011110100
3121002221200102210002100
42130323322313223310
510230101301401344
6205224552542100
715113544655323
oct2347372675364
9532850383070
10168509012724
1165511a43388
12287a93b1930
1312b7609c1b0
148227a3c0ba
1545b39d1569
hex273beb7af4

168509012724 has 144 divisors (see below), whose sum is σ = 473797868544. Its totient is φ = 50146560000.

The previous prime is 168509012723. The next prime is 168509012747. The reversal of 168509012724 is 427210905861.

168509012724 is a `hidden beast` number, since 1 + 68 + 509 + 0 + 12 + 72 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 168509012724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168509012723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42114724 + ... + 42118724.

It is an arithmetic number, because the mean of its divisors is an integer number (3290262976).

Almost surely, 2168509012724 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 168509012724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236898934272).

168509012724 is an abundant number, since it is smaller than the sum of its proper divisors (305288855820).

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

168509012724 is a wasteful number, since it uses less digits than its factorization.

168509012724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 168509012724 in words is "one hundred sixty-eight billion, five hundred nine million, twelve thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2903 3627 4001 4836 5806 7254 8002 8709 11612 12003 14508 16004 17418 24006 26127 34836 36009 37739 48012 52013 52254 72018 75478 89993 104026 104508 113217 124031 144036 150956 156039 179986 208052 226434 248062 269979 312078 339651 359972 372093 452868 468117 496124 539958 624156 679302 744186 809937 936234 1079916 1116279 1169909 1358604 1488372 1612403 1619874 1872468 2232558 2339818 3224806 3239748 3509727 4465116 4679636 4837209 6449612 7019454 9674418 10529181 11614903 14038908 14511627 19348836 21058362 23229806 29023254 34844709 42116724 46459612 58046508 69689418 104534127 139378836 150993739 209068254 301987478 360061993 418136508 452981217 603974956 720123986 905962434 1080185979 1358943651 1440247972 1811924868 2160371958 2717887302 3240557937 4320743916 4680805909 5435774604 6481115874 9361611818 12962231748 14042417727 18723223636 28084835454 42127253181 56169670908 84254506362 168509012724