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9952210944 = 2123213191093
BaseRepresentation
bin10010100010011001…
…01011000000000000
3221200120211200212100
421101030223000000
5130340231222234
64323314230400
7501424253154
oct112114530000
927616750770
109952210944
114247844425
121b18b85400
13c27b27520
146a5a83064
153d3abd399
hex25132b000

9952210944 has 312 divisors, whose sum is σ = 32617872560. Its totient is φ = 2898395136.

The previous prime is 9952210937. The next prime is 9952210949. The reversal of 9952210944 is 4490122599.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×99522109442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9952210944.

It is not an unprimeable number, because it can be changed into a prime (9952210949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9104862 + ... + 9105954.

Almost surely, 29952210944 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 9952210944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308936280).

9952210944 is an abundant number, since it is smaller than the sum of its proper divisors (22665661616).

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

9952210944 is a wasteful number, since it uses less digits than its factorization.

9952210944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9952210944 is about 99760.7685615944. The cubic root of 9952210944 is about 2150.9972618195.

The spelling of 9952210944 in words is "nine billion, nine hundred fifty-two million, two hundred ten thousand, nine hundred forty-four".