Search a number
-
+
376831079089920 = 28395713164363
BaseRepresentation
bin101010110101110011101001…
…0100111000000011100000000
31211102020200212211001000000000
41111223213102213000130000
5343343000022221334140
63413241450300000000
7142242101300402040
oct12553472247003400
91742220784030000
10376831079089920
11aa0851881a8a74
1236320479b30000
131323603121c2c0
14690aa15cb5720
152d87393d0da30
hex156b9d29c0700

376831079089920 has 1440 divisors, whose sum is σ = 1666372430080512. Its totient is φ = 79506732957696.

The previous prime is 376831079089811. The next prime is 376831079089931. The reversal of 376831079089920 is 29980970138673.

376831079089920 is a `hidden beast` number, since 3 + 7 + 68 + 310 + 7 + 90 + 89 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2292593659 + ... + 2292758021.

Almost surely, 2376831079089920 is an apocalyptic number.

376831079089920 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 376831079089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833186215040256).

376831079089920 is an abundant number, since it is smaller than the sum of its proper divisors (1289541350990592).

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

376831079089920 is an frugal number, since it uses more digits than its factorization.

376831079089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164431 (or 164393 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 376831079089920 in words is "three hundred seventy-six trillion, eight hundred thirty-one billion, seventy-nine million, eighty-nine thousand, nine hundred twenty".