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150156512 = 251117231091
BaseRepresentation
bin10001111001100…
…11010011100000
3101110112202000022
420330303103200
5301420002022
622522213012
73502211042
oct1074632340
9343482008
10150156512
11778398a0
1242354168
132515520c
1415d29a92
15d2b0c42
hex8f334e0

150156512 has 96 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 61388800.

The previous prime is 150156511. The next prime is 150156541. The reversal of 150156512 is 215651051.

It is a super-2 number, since 2×1501565122 = 45093956192012288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150156511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137087 + ... + 138177.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2150156512 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 150156512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

150156512 is an abundant number, since it is smaller than the sum of its proper divisors (206481952).

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

150156512 is a wasteful number, since it uses less digits than its factorization.

150156512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 150156512 is about 12253.8366236865. The cubic root of 150156512 is about 531.5140190414.

The spelling of 150156512 in words is "one hundred fifty million, one hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 88 92 136 176 184 187 253 272 352 368 374 391 506 544 736 748 782 1012 1091 1496 1564 2024 2182 2992 3128 4048 4301 4364 5984 6256 8096 8602 8728 12001 12512 17204 17456 18547 24002 25093 34408 34912 37094 48004 50186 68816 74188 96008 100372 137632 148376 192016 200744 204017 276023 296752 384032 401488 408034 426581 552046 593504 802976 816068 853162 1104092 1632136 1706324 2208184 3264272 3412648 4416368 4692391 6528544 6825296 8832736 9384782 13650592 18769564 37539128 75078256 150156512