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379903979520 = 21233513411289
BaseRepresentation
bin1011000011101000000…
…10101011000000000000
31100022121011100202102000
411201310002223000000
522211020404321040
6450305300424000
736306242355012
oct5416402530000
91308534322360
10379903979520
1113713098a80a
12617650a8000
1329a950b4370
141455d2441b2
159d37512130
hex58740ab000

379903979520 has 832 divisors, whose sum is σ = 1491128956800. Its totient is φ = 91163197440.

The previous prime is 379903979501. The next prime is 379903979531. The reversal of 379903979520 is 25979309973.

It is a happy number.

379903979520 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 0 + 39 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294727036 + ... + 294728324.

Almost surely, 2379903979520 is an apocalyptic number.

379903979520 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 379903979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745564478400).

379903979520 is an abundant number, since it is smaller than the sum of its proper divisors (1111224977280).

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

379903979520 is a wasteful number, since it uses less digits than its factorization.

379903979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 28934010, while the sum is 63.

The spelling of 379903979520 in words is "three hundred seventy-nine billion, nine hundred three million, nine hundred seventy-nine thousand, five hundred twenty".