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379628867376 = 2432112193171521
BaseRepresentation
bin1011000011000111010…
…01001100111100110000
31100021212222200121111100
411201203221030330300
522204434442224001
6450222112044400
736266362062543
oct5414351147460
91307788617440
10379628867376
11136aaa664a00
12616a8b33700
1329a500bb705
14145348ac85a
159d1d2bc586
hex5863a4cf30

379628867376 has 720 divisors, whose sum is σ = 1289257482240. Its totient is φ = 103783680000.

The previous prime is 379628867353. The next prime is 379628867381. The reversal of 379628867376 is 673768826973.

379628867376 is a `hidden beast` number, since 37 + 96 + 2 + 88 + 67 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 728653996 + ... + 728654516.

It is an arithmetic number, because the mean of its divisors is an integer number (1790635392).

Almost surely, 2379628867376 is an apocalyptic number.

379628867376 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 379628867376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644628741120).

379628867376 is an abundant number, since it is smaller than the sum of its proper divisors (909628614864).

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

379628867376 is a wasteful number, since it uses less digits than its factorization.

379628867376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 72.

The spelling of 379628867376 in words is "three hundred seventy-nine billion, six hundred twenty-eight million, eight hundred sixty-seven thousand, three hundred seventy-six".