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9986253900 = 22352721789449
BaseRepresentation
bin10010100110011101…
…00010010001001100
3221202221220021000120
421103032202101030
5130422440111100
64330532024540
7502316520600
oct112316422114
927687807016
109986253900
114264a863a7
121b28462150
13c31bb679c
146aa3c5500
153d6a950a0
hex2533a244c

9986253900 has 432 divisors, whose sum is σ = 36068004000. Its totient is φ = 2119434240.

The previous prime is 9986253899. The next prime is 9986253923. The reversal of 9986253900 is 93526899.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22240876 + ... + 22241324.

It is an arithmetic number, because the mean of its divisors is an integer number (83490750).

Almost surely, 29986253900 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 9986253900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034002000).

9986253900 is an abundant number, since it is smaller than the sum of its proper divisors (26081750100).

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

9986253900 is a wasteful number, since it uses less digits than its factorization.

9986253900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 9986253900 is about 99931.2458643442. The cubic root of 9986253900 is about 2153.4470682055.

The spelling of 9986253900 in words is "nine billion, nine hundred eighty-six million, two hundred fifty-three thousand, nine hundred".