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153881312112 = 24331132382431
BaseRepresentation
bin1000111101010000001…
…0100111101101110000
3112201012020211121011000
42033110002213231300
510010122103441422
6154405254322000
714055215400003
oct2172402475560
9481166747130
10153881312112
115a295a97410
12259a6659300
1311684716248
14763b04b53a
15400970ccac
hex23d40a7b70

153881312112 has 80 divisors (see below), whose sum is σ = 481850588160. Its totient is φ = 46630699200.

The previous prime is 153881312111. The next prime is 153881312153. The reversal of 153881312112 is 211213188351.

153881312112 is a `hidden beast` number, since 1 + 538 + 8 + 1 + 3 + 1 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153881312111) 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, 16186464 + ... + 16195967.

It is an arithmetic number, because the mean of its divisors is an integer number (6023132352).

Almost surely, 2153881312112 is an apocalyptic number.

153881312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153881312112 is an abundant number, since it is smaller than the sum of its proper divisors (327969276048).

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

153881312112 is a wasteful number, since it uses less digits than its factorization.

153881312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32382459 (or 32382447 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 153881312112 in words is "one hundred fifty-three billion, eight hundred eighty-one million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 32382431 64764862 97147293 129529724 194294586 259059448 291441879 356206741 388589172 518118896 582883758 712413482 777178344 874325637 1068620223 1165767516 1424826964 1554356688 1748651274 2137240446 2331535032 2849653928 3205860669 3497302548 4274480892 4663070064 5699307856 6411721338 6994605096 8548961784 9617582007 12823442676 13989210192 17097923568 19235164014 25646885352 38470328028 51293770704 76940656056 153881312112