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152166449988 = 22347283383619
BaseRepresentation
bin1000110110110111010…
…0111100001101000100
3112112202202000120120000
42031231310330031010
54443114102344423
6153523155041300
713664553324660
oct2155564741504
9475682016500
10152166449988
1159595aa3093
12255a82a0230
1311470365027
1475173b78a0
153e58dc0843
hex236dd3c344

152166449988 has 240 divisors, whose sum is σ = 458157342720. Its totient is φ = 43139583936.

The previous prime is 152166449983. The next prime is 152166450011. The reversal of 152166449988 is 889944661251.

152166449988 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 64 + 499 + 88 = 666.

152166449988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (152166449983) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 245825943 + ... + 245826561.

It is an arithmetic number, because the mean of its divisors is an integer number (1908988928).

Almost surely, 2152166449988 is an apocalyptic number.

152166449988 is a gapful number since it is divisible by the number (18) 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 152166449988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229078671360).

152166449988 is an abundant number, since it is smaller than the sum of its proper divisors (305990892732).

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

152166449988 is a wasteful number, since it uses less digits than its factorization.

152166449988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 152166449988 in words is "one hundred fifty-two billion, one hundred sixty-six million, four hundred forty-nine thousand, nine hundred eighty-eight".