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2083630220550 = 23352192959197241
BaseRepresentation
bin11110010100100010000…
…010100000010100000110
321101012012202212020101000
4132110202002200110012
5233114233314024200
64233112334514130
7303352204436034
oct36244202402406
97335182766330
102083630220550
11733731a3733a
122979a3665946
131216407ca788
1472bc3803554
153930002c300
hex1e5220a0506

2083630220550 has 768 divisors, whose sum is σ = 6416910720000. Its totient is φ = 495026380800.

The previous prime is 2083630220549. The next prime is 2083630220587. The reversal of 2083630220550 is 550220363802.

2083630220550 is a `hidden beast` number, since 2 + 0 + 83 + 6 + 3 + 0 + 2 + 20 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8645768430 + ... + 8645768670.

It is an arithmetic number, because the mean of its divisors is an integer number (8355352500).

Almost surely, 22083630220550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083630220550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208455360000).

2083630220550 is an abundant number, since it is smaller than the sum of its proper divisors (4333280499450).

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

2083630220550 is a wasteful number, since it uses less digits than its factorization.

2083630220550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2083630220550 in words is "two trillion, eighty-three billion, six hundred thirty million, two hundred twenty thousand, five hundred fifty".