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990723242080 = 2551113375371311
BaseRepresentation
bin11100110101010111011…
…01001111100001100000
310111201020012120021222101
432122223231033201200
5112213000122221310
62035044301220144
7131402021416405
oct16325355174140
93451205507871
10990723242080
11352188495410
12140013261654
137256a397780
1435d4638c2ac
151ab8711c43a
hexe6abb4f860

990723242080 has 768 divisors, whose sum is σ = 2927288512512. Its totient is φ = 311980032000.

The previous prime is 990723241927. The next prime is 990723242129. The reversal of 990723242080 is 80242327099.

It is a self number, because there is not a number n which added to its sum of digits gives 990723242080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3185605125 + ... + 3185605435.

It is an arithmetic number, because the mean of its divisors is an integer number (3811573584).

Almost surely, 2990723242080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990723242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463644256256).

990723242080 is an abundant number, since it is smaller than the sum of its proper divisors (1936565270432).

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

990723242080 is a wasteful number, since it uses less digits than its factorization.

990723242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 990723242080 in words is "nine hundred ninety billion, seven hundred twenty-three million, two hundred forty-two thousand, eighty".