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150031192960 = 2751121311249
BaseRepresentation
bin1000101110111010001…
…1100101001110000000
3112100020221011021120101
42023232203211032000
54424230441133320
6152531241052144
713560625045555
oct2135643451600
9470227137511
10150031192960
115869a773960
12250b1187054
13111bcb8142c
147393990a2c
153d816e1c0a
hex22ee8e5380

150031192960 has 64 divisors (see below), whose sum is σ = 391274550000. Its totient is φ = 54556794880.

The previous prime is 150031192957. The next prime is 150031192991. The reversal of 150031192960 is 69291130051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1500311929602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10648585 + ... + 10662664.

Almost surely, 2150031192960 is an apocalyptic number.

150031192960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150031192960 is an abundant number, since it is smaller than the sum of its proper divisors (241243357040).

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

150031192960 is a wasteful number, since it uses less digits than its factorization.

150031192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311279 (or 21311267 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 150031192960 in words is "one hundred fifty billion, thirty-one million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 21311249 42622498 85244996 106556245 170489992 213112490 234423739 340979984 426224980 468847478 681959968 852449960 937694956 1172118695 1363919936 1704899920 1875389912 2344237390 2727839872 3409799840 3750779824 4688474780 6819599680 7501559648 9376949560 13639199360 15003119296 18753899120 30006238592 37507798240 75015596480 150031192960