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990582671232 = 2732711171993301
BaseRepresentation
bin11100110101000110101…
…01000000011110000000
310111200212102001120000200
432122203111000132000
5112212203130434412
62035022320245200
7131365363531020
oct16324325003600
93450772046020
10990582671232
11352116103460
1213bb94170800
137254721a65b
1435d31839a80
151ab79b019dc
hexe6a3540780

990582671232 has 768 divisors, whose sum is σ = 3782982528000. Its totient is φ = 240869376000.

The previous prime is 990582671173. The next prime is 990582671261. The reversal of 990582671232 is 232176285099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300083982 + ... + 300087282.

It is an arithmetic number, because the mean of its divisors is an integer number (4925758500).

Almost surely, 2990582671232 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 990582671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891491264000).

990582671232 is an abundant number, since it is smaller than the sum of its proper divisors (2792399856768).

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

990582671232 is a wasteful number, since it uses less digits than its factorization.

990582671232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 990582671232 in words is "nine hundred ninety billion, five hundred eighty-two million, six hundred seventy-one thousand, two hundred thirty-two".