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151900053120 = 2732548754151
BaseRepresentation
bin1000110101110111110…
…0101101111010000000
3112112002011202012202100
42031131330231322000
54442042403144440
6153440521150400
713655140101504
oct2153574557200
9475064665670
10151900053120
1159469690192
122553302b400
131142a10124a
1474cdc70304
153e407ed230
hex235df2de80

151900053120 has 192 divisors, whose sum is σ = 525616640640. Its totient is φ = 40422758400.

The previous prime is 151900053101. The next prime is 151900053133. The reversal of 151900053120 is 21350009151.

151900053120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1519000531202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2778045 + ... + 2832195.

It is an arithmetic number, because the mean of its divisors is an integer number (2737586670).

Almost surely, 2151900053120 is an apocalyptic number.

151900053120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151900053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262808320320).

151900053120 is an abundant number, since it is smaller than the sum of its proper divisors (373716587520).

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

151900053120 is a wasteful number, since it uses less digits than its factorization.

151900053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54663 (or 54648 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 151900053120 in words is "one hundred fifty-one billion, nine hundred million, fifty-three thousand, one hundred twenty".