Search a number
-
+
980446426920 = 2332529671401679
BaseRepresentation
bin11100100010001110010…
…10010011011100101000
310110201200222220222211200
432101013022103130220
5112030423241130140
62030224425324200
7130556243060232
oct16210712233450
93421628828750
10980446426920
113488944a2044
1213a025636660
13715c023945c
143564d56d252
151a784cd0030
hexe447293728

980446426920 has 192 divisors, whose sum is σ = 3345529824000. Its totient is φ = 248668890624.

The previous prime is 980446426913. The next prime is 980446426957. The reversal of 980446426920 is 29624644089.

980446426920 is a `hidden beast` number, since 9 + 80 + 446 + 42 + 69 + 20 = 666.

It is a super-2 number, since 2×9804464269202 (a number of 25 digits) contains 22 as substring.

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, 1360 + ... + 1400319.

It is an arithmetic number, because the mean of its divisors is an integer number (17424634500).

Almost surely, 2980446426920 is an apocalyptic number.

980446426920 is a gapful number since it is divisible by the number (90) 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 980446426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672764912000).

980446426920 is an abundant number, since it is smaller than the sum of its proper divisors (2365083397080).

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

980446426920 is a wasteful number, since it uses less digits than its factorization.

980446426920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401792 (or 1401785 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 980446426920 in words is "nine hundred eighty billion, four hundred forty-six million, four hundred twenty-six thousand, nine hundred twenty".