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379484663040 = 28355733557
BaseRepresentation
bin1011000010110110000…
…11000110110100000000
31100021111221100021100000
411201123003012310000
522204141033204130
6450155521200000
736262661262000
oct5413303066400
91307457307300
10379484663040
11136a3622106a
1261668790000
1329a2926b7c2
141451d692000
159d107d5260
hex585b0c6d00

379484663040 has 864 divisors, whose sum is σ = 1588325356800. Its totient is φ = 86714966016.

The previous prime is 379484663023. The next prime is 379484663083. The reversal of 379484663040 is 40366484973.

379484663040 is a `hidden beast` number, since 3 + 79 + 48 + 466 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 106684942 + ... + 106688498.

Almost surely, 2379484663040 is an apocalyptic number.

379484663040 is a gapful number since it is divisible by the number (30) 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 379484663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794162678400).

379484663040 is an abundant number, since it is smaller than the sum of its proper divisors (1208840693760).

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

379484663040 is an frugal number, since it uses more digits than its factorization.

379484663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 379484663040 in words is "three hundred seventy-nine billion, four hundred eighty-four million, six hundred sixty-three thousand, forty".