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379332492000 = 2535371117193141
BaseRepresentation
bin1011000010100011111…
…10100111101011100000
31100021010100000011220120
411201101332213223200
522203333104221000
6450132443440240
736256132660440
oct5412176475340
91307110004816
10379332492000
11136968336780
1261625826080
1329a0388c677
14145073a0120
159d022776a0
hex5851fa7ae0

379332492000 has 3072 divisors, whose sum is σ = 1825988935680. Its totient is φ = 66355200000.

The previous prime is 379332491977. The next prime is 379332492029. The reversal of 379332492000 is 294233973.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9252011980 + ... + 9252012020.

It is an arithmetic number, because the mean of its divisors is an integer number (594397440).

Almost surely, 2379332492000 is an apocalyptic number.

379332492000 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 379332492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912994467840).

379332492000 is an abundant number, since it is smaller than the sum of its proper divisors (1446656443680).

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

379332492000 is a wasteful number, since it uses less digits than its factorization.

379332492000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 379332492000 in words is "three hundred seventy-nine billion, three hundred thirty-two million, four hundred ninety-two thousand".