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9983562640 = 245137910909
BaseRepresentation
bin10010100110001000…
…10001001110010000
3221202202211112022021
421103010101032100
5130421243001030
64330354221224
7502254611422
oct112304211620
927682745267
109983562640
114263508417
121b27584814
13c3148381c
146a9cc4812
153d671297a
hex253111390

9983562640 has 40 divisors (see below), whose sum is σ = 23381237880. Its totient is φ = 3964271616.

The previous prime is 9983562619. The next prime is 9983562653. The reversal of 9983562640 is 462653899.

It can be written as a sum of positive squares in 4 ways, for example, as 498360976 + 9485201664 = 22324^2 + 97392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444495 + ... + 466414.

It is an arithmetic number, because the mean of its divisors is an integer number (584530947).

Almost surely, 29983562640 is an apocalyptic number.

It is an amenable number.

9983562640 is an abundant number, since it is smaller than the sum of its proper divisors (13397675240).

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

9983562640 is a wasteful number, since it uses less digits than its factorization.

9983562640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911059 (or 911053 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The square root of 9983562640 is about 99917.7793988637. The cubic root of 9983562640 is about 2153.2536020431.

The spelling of 9983562640 in words is "nine billion, nine hundred eighty-three million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 910909 1821818 3643636 4554545 7287272 9109090 14574544 18218180 36436360 72872720 124794533 249589066 499178132 623972665 998356264 1247945330 1996712528 2495890660 4991781320 9983562640