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379271003904 = 28321323607907
BaseRepresentation
bin1011000010011100101…
…00000011111100000000
31100020222001022021002200
411201032110003330000
522203221334111104
6450122405513200
736254455225032
oct5411624037400
91306861267080
10379271003904
11136936659871
1261609112800
13299c3c11290
14144dd155c52
159cebb7db39
hex584e503f00

379271003904 has 432 divisors, whose sum is σ = 1232233347072. Its totient is φ = 111318147072.

The previous prime is 379271003899. The next prime is 379271003921. The reversal of 379271003904 is 409300172973.

379271003904 is a `hidden beast` number, since 379 + 271 + 0 + 0 + 3 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 379271003904.

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, 418159419 + ... + 418160325.

Almost surely, 2379271003904 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 379271003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616116673536).

379271003904 is an abundant number, since it is smaller than the sum of its proper divisors (852962343168).

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

379271003904 is a wasteful number, since it uses less digits than its factorization.

379271003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 379271003904 in words is "three hundred seventy-nine billion, two hundred seventy-one million, three thousand, nine hundred four".