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9981230952 = 23371123147337
BaseRepresentation
bin10010100101110110…
…10111111101101000
3221202121110001211110
421102323113331220
5130420143342302
64330232230320
7502226030460
oct112273277550
927677401743
109981230952
114262165600
121b2683b3a0
13c30b48424
146a9878ba0
153d6401b6c
hex252ed7f68

9981230952 has 384 divisors, whose sum is σ = 33143685120. Its totient is φ = 2448230400.

The previous prime is 9981230899. The next prime is 9981230953. The reversal of 9981230952 is 2590321899.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9981230953) 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, 29617728 + ... + 29618064.

It is an arithmetic number, because the mean of its divisors is an integer number (86311680).

Almost surely, 29981230952 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 9981230952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571842560).

9981230952 is an abundant number, since it is smaller than the sum of its proper divisors (23162454168).

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

9981230952 is a wasteful number, since it uses less digits than its factorization.

9981230952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 9981230952 is about 99906.1106839817. The cubic root of 9981230952 is about 2153.0859562610.

The spelling of 9981230952 in words is "nine billion, nine hundred eighty-one million, two hundred thirty thousand, nine hundred fifty-two".