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357143427630 = 2325113119935839
BaseRepresentation
bin1010011001001110110…
…10000011101000101110
31021010211221100220212200
411030213122003220232
521322412204141010
6432022555042330
734542230021613
oct5144732035056
91233757326780
10357143427630
11128511177250
12592727403a6
13278a8811a92
141340048650a
15945424ecc0
hex5327683a2e

357143427630 has 192 divisors, whose sum is σ = 1046369525760. Its totient is φ = 83730931200.

The previous prime is 357143427593. The next prime is 357143427637. The reversal of 357143427630 is 36724341753.

357143427630 is a `hidden beast` number, since 3 + 5 + 7 + 1 + 4 + 3 + 4 + 2 + 7 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357143427637) 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 95 ways as a sum of consecutive naturals, for example, 61162251 + ... + 61168089.

It is an arithmetic number, because the mean of its divisors is an integer number (5449841280).

Almost surely, 2357143427630 is an apocalyptic number.

357143427630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 357143427630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523184762880).

357143427630 is an abundant number, since it is smaller than the sum of its proper divisors (689226098130).

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

357143427630 is a wasteful number, since it uses less digits than its factorization.

357143427630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 357143427630 in words is "three hundred fifty-seven billion, one hundred forty-three million, four hundred twenty-seven thousand, six hundred thirty".