Search a number
-
+
979917046920 = 23365723122123
BaseRepresentation
bin11100100001001111001…
…10111000010010001000
310110200100002210201000000
432100213212320102020
5112023332231000140
62030100115043000
7130540154316300
oct16204746702210
93420302721000
10979917046920
11348642699009
12139ab82a0460
1371537668656
14355dd12a600
151a7535b1a30
hexe4279b8488

979917046920 has 672 divisors, whose sum is σ = 3969640293120. Its totient is φ = 216746046720.

The previous prime is 979917046831. The next prime is 979917046949. The reversal of 979917046920 is 29640719979.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44282979 + ... + 44305101.

Almost surely, 2979917046920 is an apocalyptic number.

979917046920 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 979917046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984820146560).

979917046920 is an abundant number, since it is smaller than the sum of its proper divisors (2989723246200).

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

979917046920 is a wasteful number, since it uses less digits than its factorization.

979917046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22197 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 979917046920 in words is "nine hundred seventy-nine billion, nine hundred seventeen million, forty-six thousand, nine hundred twenty".