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152380939392 = 2733115375629
BaseRepresentation
bin1000110111101010011…
…1001001110010000000
3112120022200121202201000
42031322213021302000
54444034010030032
6154000340212000
714003066420343
oct2157247116200
9476280552630
10152380939392
1159696082160
122564809a000
13114a5923436
147537a8c45a
153e6cb3ce7c
hex237a9c9c80

152380939392 has 256 divisors, whose sum is σ = 499884048000. Its totient is φ = 45304197120.

The previous prime is 152380939387. The next prime is 152380939397. The reversal of 152380939392 is 293939083251.

It is a happy number.

152380939392 is a `hidden beast` number, since 1 + 5 + 2 + 380 + 93 + 93 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (152380939387) and next prime (152380939397).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (152380939397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1977034 + ... + 2052662.

Almost surely, 2152380939392 is an apocalyptic number.

152380939392 is a gapful number since it is divisible by the number (12) 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 152380939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249942024000).

152380939392 is an abundant number, since it is smaller than the sum of its proper divisors (347503108608).

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

152380939392 is a wasteful number, since it uses less digits than its factorization.

152380939392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75716 (or 75698 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 152380939392 in words is "one hundred fifty-two billion, three hundred eighty million, nine hundred thirty-nine thousand, three hundred ninety-two".