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151271465952 = 2531575744437
BaseRepresentation
bin1000110011100001111…
…0110110001111100000
3112110110100221200021010
42030320132312033200
54434300443402302
6153254304300520
713633435150035
oct2147036661740
9473410850233
10151271465952
1159176887362
1225398611740
1311359b06789
1474705a538c
153e0553516c
hex23387b63e0

151271465952 has 24 divisors (see below), whose sum is σ = 397087598376. Its totient is φ = 50423821952.

The previous prime is 151271465941. The next prime is 151271466001. The reversal of 151271465952 is 259564172151.

151271465952 is digitally balanced in base 2, 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 (24).

It is a super-2 number, since 2×1512714659522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 787872123 + ... + 787872314.

It is an arithmetic number, because the mean of its divisors is an integer number (16545316599).

Almost surely, 2151271465952 is an apocalyptic number.

151271465952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151271465952 is an abundant number, since it is smaller than the sum of its proper divisors (245816132424).

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

151271465952 is a wasteful number, since it uses less digits than its factorization.

151271465952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575744450 (or 1575744442 counting only the distinct ones).

The product of its digits is 756000, while the sum is 48.

The spelling of 151271465952 in words is "one hundred fifty-one billion, two hundred seventy-one million, four hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1575744437 3151488874 4727233311 6302977748 9454466622 12605955496 18908933244 25211910992 37817866488 50423821984 75635732976 151271465952