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357068445696 = 21137292749
BaseRepresentation
bin1010011001000101111…
…00000001100000000000
31021010122201021110000000
411030202330001200000
521322234010230241
6432011320000000
734540326465444
oct5144274014000
91233581243000
10357068445696
11128482913206
1259251600000
132789611a781
14133d4528824
15944c88ceb6
hex5322f01800

357068445696 has 384 divisors, whose sum is σ = 1108107000000. Its totient is φ = 114876776448.

The previous prime is 357068445677. The next prime is 357068445703. The reversal of 357068445696 is 696544860753.

357068445696 is a `hidden beast` number, since 3 + 5 + 7 + 0 + 68 + 4 + 4 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129888930 + ... + 129891678.

Almost surely, 2357068445696 is an apocalyptic number.

357068445696 is a gapful number since it is divisible by the number (36) 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 357068445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554053500000).

357068445696 is an abundant number, since it is smaller than the sum of its proper divisors (751038554304).

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

357068445696 is an frugal number, since it uses more digits than its factorization.

357068445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 357068445696 in words is "three hundred fifty-seven billion, sixty-eight million, four hundred forty-five thousand, six hundred ninety-six".