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9980443200 = 2635271373313
BaseRepresentation
bin10010100101110000…
…10111101001000000
3221202112222001020110
421102320113221000
5130414443140300
64330203311320
7502216240020
oct112270275100
927675861213
109980443200
114261777772
121b2651b540
13c309309c0
146a9711a80
153d62e8550
hex252e17a40

9980443200 has 672 divisors, whose sum is σ = 40983099136. Its totient is φ = 2070282240.

The previous prime is 9980443189. The next prime is 9980443201. The reversal of 9980443200 is 23440899.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9980443201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31886244 + ... + 31886556.

Almost surely, 29980443200 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 9980443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491549568).

9980443200 is an abundant number, since it is smaller than the sum of its proper divisors (31002655936).

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

9980443200 is a wasteful number, since it uses less digits than its factorization.

9980443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 9980443200 is about 99902.1681446404. The cubic root of 9980443200 is about 2153.0293118651.

The spelling of 9980443200 in words is "nine billion, nine hundred eighty million, four hundred forty-three thousand, two hundred".