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379076252352 = 2637242979377
BaseRepresentation
bin1011000010000101011…
…01001001001011000000
31100020110110211212012020
411201002231021023000
522202322010033402
6450051211401440
736246601660200
oct5410255111300
91306413755166
10379076252352
11136846731076
1261573a53280
1329992773b85
14144c133c400
159cd9a0e8bc
hex5842b492c0

379076252352 has 168 divisors, whose sum is σ = 1167119183664. Its totient is φ = 108270747648.

The previous prime is 379076252341. The next prime is 379076252353. The reversal of 379076252352 is 253252670973.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 379076252295 and 379076252304.

It is not an unprimeable number, because it can be changed into a prime (379076252353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40421488 + ... + 40430864.

It is an arithmetic number, because the mean of its divisors is an integer number (6947137998).

Almost surely, 2379076252352 is an apocalyptic number.

379076252352 is a gapful number since it is divisible by the number (32) 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 379076252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583559591832).

379076252352 is an abundant number, since it is smaller than the sum of its proper divisors (788042931312).

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

379076252352 is a wasteful number, since it uses less digits than its factorization.

379076252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13703 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 379076252352 in words is "three hundred seventy-nine billion, seventy-six million, two hundred fifty-two thousand, three hundred fifty-two".