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357474244842 = 23411213229612
BaseRepresentation
bin1010011001110110010…
…00000001100011101010
31021011200222212011210000
411030323020001203222
521324101401313332
6432115453403430
734553354642361
oct5147310014352
91234628764700
10357474244842
1112867098a100
1259345499576
132792c20c800
141343239c7d8
1594732e9b7c
hex533b2018ea

357474244842 has 540 divisors, whose sum is σ = 1002690618930. Its totient is φ = 94962067200.

The previous prime is 357474244789. The next prime is 357474244867. The reversal of 357474244842 is 248442474753.

357474244842 is a `hidden beast` number, since 3 + 5 + 74 + 74 + 24 + 484 + 2 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 110583516681 + 246890728161 = 332541^2 + 496881^2 .

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

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 269 ways as a sum of consecutive naturals, for example, 5860233492 + ... + 5860233552.

Almost surely, 2357474244842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357474244842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501345309465).

357474244842 is an abundant number, since it is smaller than the sum of its proper divisors (645216374088).

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

357474244842 is a wasteful number, since it uses less digits than its factorization.

357474244842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 119 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 54.

The spelling of 357474244842 in words is "three hundred fifty-seven billion, four hundred seventy-four million, two hundred forty-four thousand, eight hundred forty-two".