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152285991936 = 210313247792
BaseRepresentation
bin1000110111010011110…
…0111101010000000000
3112120002001221221021120
42031310330331100000
54443340203220221
6153543105152240
714000534400531
oct2156474752000
9476061857246
10152285991936
1159647521791
122562032b680
131148c05b600
147529214688
153e646355c6
hex2374f3d400

152285991936 has 396 divisors, whose sum is σ = 454627760832. Its totient is φ = 45279756288.

The previous prime is 152285991919. The next prime is 152285991961. The reversal of 152285991936 is 639199582251.

Its product of digits (10497600) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 152285991936.

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 35 ways as a sum of consecutive naturals, for example, 1927670745 + ... + 1927670823.

Almost surely, 2152285991936 is an apocalyptic number.

152285991936 is a gapful number since it is divisible by the number (16) 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 152285991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227313880416).

152285991936 is an abundant number, since it is smaller than the sum of its proper divisors (302341768896).

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

152285991936 is an equidigital number, since it uses as much as digits as its factorization.

152285991936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 144 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 60.

The spelling of 152285991936 in words is "one hundred fifty-two billion, two hundred eighty-five million, nine hundred ninety-one thousand, nine hundred thirty-six".