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379351656840 = 2335132127147289
BaseRepresentation
bin1011000010100110001…
…11101110100110001000
31100021011200001212010110
411201103013232212020
522203403011004330
6450134410314320
736256454610552
oct5412307564610
91307150055113
10379351656840
11136978136592
12616301289a0
1329a0783c900
1414509b4c4d2
159d03cb0db0
hex58531ee988

379351656840 has 192 divisors, whose sum is σ = 1242043545600. Its totient is φ = 92642973696.

The previous prime is 379351656811. The next prime is 379351656883. The reversal of 379351656840 is 48656153973.

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, 2501916 + ... + 2649204.

It is an arithmetic number, because the mean of its divisors is an integer number (6468976800).

Almost surely, 2379351656840 is an apocalyptic number.

379351656840 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 379351656840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621021772800).

379351656840 is an abundant number, since it is smaller than the sum of its proper divisors (862691888760).

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

379351656840 is a wasteful number, since it uses less digits than its factorization.

379351656840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147456 (or 147439 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 379351656840 in words is "three hundred seventy-nine billion, three hundred fifty-one million, six hundred fifty-six thousand, eight hundred forty".