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152190457848 = 2333111331158941
BaseRepresentation
bin1000110110111101000…
…0100001011111111000
3112112211102012022011000
42031233100201133320
54443141224122343
6153525413405000
713665264355512
oct2155720413770
9475742168130
10152190457848
11595a86005a0
12255b4339760
131147531c770
14751a666bb2
153e5b063ed3
hex236f4217f8

152190457848 has 256 divisors, whose sum is σ = 512683315200. Its totient is φ = 41197248000.

The previous prime is 152190457831. The next prime is 152190457849. The reversal of 152190457848 is 848754091251.

152190457848 is a `hidden beast` number, since 1 + 5 + 21 + 9 + 0 + 4 + 578 + 48 = 666.

It is a super-2 number, since 2×1521904578482 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152190457794 and 152190457803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152190457849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878058 + ... + 1036998.

It is an arithmetic number, because the mean of its divisors is an integer number (2002669200).

Almost surely, 2152190457848 is an apocalyptic number.

152190457848 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 152190457848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256341657600).

152190457848 is an abundant number, since it is smaller than the sum of its proper divisors (360492857352).

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

152190457848 is a wasteful number, since it uses less digits than its factorization.

152190457848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159011 (or 159001 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 152190457848 in words is "one hundred fifty-two billion, one hundred ninety million, four hundred fifty-seven thousand, eight hundred forty-eight".