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379612746864 = 2432131913038191
BaseRepresentation
bin1011000011000101010…
…11101101010001110000
31100021211212100121022100
411201202223231101300
522204421330344424
6450220334340400
736266105052141
oct5414253552160
91307755317270
10379612746864
11136aa155436a
12616a365a700
1329a49966050
14145326b3ac8
159d1bb85dc9
hex5862aed470

379612746864 has 240 divisors, whose sum is σ = 1205398405120. Its totient is φ = 110557923840.

The previous prime is 379612746839. The next prime is 379612746893. The reversal of 379612746864 is 468647216973.

It is a happy number.

379612746864 is a `hidden beast` number, since 3 + 7 + 9 + 612 + 7 + 4 + 6 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46341009 + ... + 46349199.

Almost surely, 2379612746864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379612746864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602699202560).

379612746864 is an abundant number, since it is smaller than the sum of its proper divisors (825785658256).

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

379612746864 is a wasteful number, since it uses less digits than its factorization.

379612746864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9531 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 379612746864 in words is "three hundred seventy-nine billion, six hundred twelve million, seven hundred forty-six thousand, eight hundred sixty-four".