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379421637000 = 233537431373067
BaseRepresentation
bin1011000010101110100…
…10101011100110001000
31100021100112202012212020
411201113102223212020
522204023414341000
6450145350244440
736261264462420
oct5412722534610
91307315665766
10379421637000
11136a0369372a
126164b656720
1329a191a23a3
1414515167480
159d09ed5ba0
hex58574ab988

379421637000 has 512 divisors, whose sum is σ = 1394931732480. Its totient is φ = 84062361600.

The previous prime is 379421636981. The next prime is 379421637031. The reversal of 379421637000 is 736124973.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123709467 + ... + 123712533.

It is an arithmetic number, because the mean of its divisors is an integer number (2724476040).

Almost surely, 2379421637000 is an apocalyptic number.

379421637000 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 379421637000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697465866240).

379421637000 is an abundant number, since it is smaller than the sum of its proper divisors (1015510095480).

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

379421637000 is a wasteful number, since it uses less digits than its factorization.

379421637000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 379421637000 in words is "three hundred seventy-nine billion, four hundred twenty-one million, six hundred thirty-seven thousand".