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379982427840 = 263251767115837
BaseRepresentation
bin1011000011110001011…
…01111011011011000000
31100022210121222100021100
411201320231323123000
522211201000142330
6450321142054400
736311214226221
oct5417055733300
91308717870240
10379982427840
111371711a1134
126178741a400
1329aa84203a2
1414569825248
159d3e35b060
hex5878b7b6c0

379982427840 has 336 divisors, whose sum is σ = 1404529263072. Its totient is φ = 93943922688.

The previous prime is 379982427833. The next prime is 379982427841. The reversal of 379982427840 is 48724289973.

379982427840 is a `hidden beast` number, since 3 + 7 + 99 + 82 + 427 + 8 + 40 = 666.

379982427840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (379982427841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3222402 + ... + 3338238.

Almost surely, 2379982427840 is an apocalyptic number.

379982427840 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 379982427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702264631536).

379982427840 is an abundant number, since it is smaller than the sum of its proper divisors (1024546835232).

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

379982427840 is a wasteful number, since it uses less digits than its factorization.

379982427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115944 (or 115931 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 379982427840 in words is "three hundred seventy-nine billion, nine hundred eighty-two million, four hundred twenty-seven thousand, eight hundred forty".