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379902613248 = 283217293110789
BaseRepresentation
bin1011000011100111111…
…01011101011100000000
31100022121001210100020100
411201303331131130000
522211020032110443
6450305211242400
736306224634504
oct5416375353400
91308531710210
10379902613248
11137130137264
1261764749400
1329a94a26512
141455cdaa304
159d373423d3
hex5873f5d700

379902613248 has 432 divisors, whose sum is σ = 1238595321600. Its totient is φ = 111352872960.

The previous prime is 379902613247. The next prime is 379902613283. The reversal of 379902613248 is 842316209973.

379902613248 is a `hidden beast` number, since 379 + 9 + 0 + 26 + 1 + 3 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 379902613194 and 379902613203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379902613241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35206638 + ... + 35217426.

It is an arithmetic number, because the mean of its divisors is an integer number (2867118800).

Almost surely, 2379902613248 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 379902613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619297660800).

379902613248 is an abundant number, since it is smaller than the sum of its proper divisors (858692708352).

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

379902613248 is a wasteful number, since it uses less digits than its factorization.

379902613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10888 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 379902613248 in words is "three hundred seventy-nine billion, nine hundred two million, six hundred thirteen thousand, two hundred forty-eight".