Search a number
-
+
990323614980 = 223257412718043
BaseRepresentation
bin11100110100100111110…
…00110010010100000100
310111200012100121010122200
432122103320302110010
5112211140321134410
62034540503554500
7131356066560000
oct16322370622404
93450170533580
10990323614980
11351aa2954687
1213bb2145ba30
1372505656b2b
1435d09283700
151ab61ece3c0
hexe693e32504

990323614980 has 360 divisors, whose sum is σ = 3532226460672. Its totient is φ = 224564876928.

The previous prime is 990323614979. The next prime is 990323615023. The reversal of 990323614980 is 89416323099.

990323614980 is a `hidden beast` number, since 9 + 90 + 3 + 2 + 3 + 61 + 498 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 54877839 + ... + 54895881.

Almost surely, 2990323614980 is an apocalyptic number.

990323614980 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 990323614980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766113230336).

990323614980 is an abundant number, since it is smaller than the sum of its proper divisors (2541902845692).

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

990323614980 is a wasteful number, since it uses less digits than its factorization.

990323614980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18213 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 990323614980 in words is "nine hundred ninety billion, three hundred twenty-three million, six hundred fourteen thousand, nine hundred eighty".