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379319805990 = 2325294714920753
BaseRepresentation
bin1011000010100010011…
…10001110100000100110
31100021002110010122222100
411201101032032200212
522203321332242430
6450131311512530
736255620103126
oct5412116164046
91307073118870
10379319805990
11136961161574
1261621528746
1329a0106a358
141450581ac86
159d010bd960
hex585138e826

379319805990 has 192 divisors, whose sum is σ = 1048990176000. Its totient is φ = 94939901952.

The previous prime is 379319805979. The next prime is 379319806003. The reversal of 379319805990 is 99508913973.

379319805990 is a `hidden beast` number, since 3 + 7 + 9 + 31 + 9 + 8 + 0 + 599 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18267454 + ... + 18288206.

It is an arithmetic number, because the mean of its divisors is an integer number (5463490500).

Almost surely, 2379319805990 is an apocalyptic number.

379319805990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 379319805990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524495088000).

379319805990 is an abundant number, since it is smaller than the sum of its proper divisors (669670370010).

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

379319805990 is a wasteful number, since it uses less digits than its factorization.

379319805990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20991 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 379319805990 in words is "three hundred seventy-nine billion, three hundred nineteen million, eight hundred five thousand, nine hundred ninety".