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379435992000 = 263531310112041
BaseRepresentation
bin1011000010110000010…
…01011100001111000000
31100021101112202112012220
411201120021130033000
522204041103221000
6450151022051040
736261530500632
oct5413011341700
91307345675186
10379435992000
11136a107a886a
1261654419a80
1329a1c15a280
1414517022a52
159d0b3be1a0
hex585825c3c0

379435992000 has 448 divisors, whose sum is σ = 1362746706048. Its totient is φ = 92467200000.

The previous prime is 379435991969. The next prime is 379435992059. The reversal of 379435992000 is 299534973.

It is a congruent number.

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, 31505980 + ... + 31518020.

It is an arithmetic number, because the mean of its divisors is an integer number (3041845326).

Almost surely, 2379435992000 is an apocalyptic number.

379435992000 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 379435992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681373353024).

379435992000 is an abundant number, since it is smaller than the sum of its proper divisors (983310714048).

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

379435992000 is a wasteful number, since it uses less digits than its factorization.

379435992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12185 (or 12165 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 379435992000 in words is "three hundred seventy-nine billion, four hundred thirty-five million, nine hundred ninety-two thousand".