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120155493816 = 23328325397919
BaseRepresentation
bin110111111100111010…
…0110101010110111000
3102111010211202111220200
41233321310311112320
53432034301300231
6131110525122200
711452364563101
oct1577164652670
9374124674820
10120155493816
1146a59709a06
121b3539b9360
13b43b48aa47
145b5bc613a8
1531d396cbe6
hex1bf9d355b8

120155493816 has 96 divisors (see below), whose sum is σ = 329513184000. Its totient is φ = 39548699712.

The previous prime is 120155493727. The next prime is 120155493827. The reversal of 120155493816 is 618394551021.

It is a happy number.

120155493816 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 554 + 93 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15169105 + ... + 15177023.

It is an arithmetic number, because the mean of its divisors is an integer number (3432429000).

Almost surely, 2120155493816 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 120155493816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164756592000).

120155493816 is an abundant number, since it is smaller than the sum of its proper divisors (209357690184).

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

120155493816 is a wasteful number, since it uses less digits than its factorization.

120155493816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 120155493816 in words is "one hundred twenty billion, one hundred fifty-five million, four hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2539 2988 5078 5976 7617 7919 10156 15234 15838 20312 22851 23757 30468 31676 45702 47514 60936 63352 71271 91404 95028 142542 182808 190056 210737 285084 421474 570168 632211 657277 842948 1264422 1314554 1685896 1896633 1971831 2528844 2629108 3793266 3943662 5057688 5258216 5915493 7586532 7887324 11830986 15173064 15774648 20106341 23661972 40212682 47323944 60319023 80425364 120638046 160850728 180957069 241276092 361914138 482552184 723828276 1447656552 1668826303 3337652606 5006478909 6675305212 10012957818 13350610424 15019436727 20025915636 30038873454 40051831272 60077746908 120155493816