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152500535424 = 2732132378937
BaseRepresentation
bin1000111000000110111…
…1011000000010000000
3112120122000122212121200
42032001233120002000
54444310114113144
6154020251421200
714006051106666
oct2160157300200
9476560585550
10152500535424
1159747638456
1225680154800
13114c4638513
147549900c36
153e783b3c69
hex2381bd8080

152500535424 has 48 divisors (see below), whose sum is σ = 438836179470. Its totient is φ = 50833511424.

The previous prime is 152500535423. The next prime is 152500535431. The reversal of 152500535424 is 424535005251.

152500535424 is a `hidden beast` number, since 1 + 52 + 50 + 0 + 535 + 4 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132956495424 + 19544040000 = 364632^2 + 139800^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (152500535423) 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 5 ways as a sum of consecutive naturals, for example, 66188317 + ... + 66190620.

Almost surely, 2152500535424 is an apocalyptic number.

It is an amenable number.

152500535424 is an abundant number, since it is smaller than the sum of its proper divisors (286335644046).

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

152500535424 is a wasteful number, since it uses less digits than its factorization.

152500535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132378957 (or 132378942 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 152500535424 in words is "one hundred fifty-two billion, five hundred million, five hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 132378937 264757874 397136811 529515748 794273622 1059031496 1191410433 1588547244 2118062992 2382820866 3177094488 4236125984 4765641732 6354188976 8472251968 9531283464 12708377952 16944503936 19062566928 25416755904 38125133856 50833511808 76250267712 152500535424