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989925502500 = 223654112672
BaseRepresentation
bin11100110011111000010…
…10000110111000100100
310111122011121110221000000
432121330022012320210
5112204331412040000
62034433203021300
7131343163636134
oct16317412067044
93448147427000
10989925502500
11351909158900
1213ba3006a830
137247102670c
1435cac450ac4
151ab3c090000
hexe67c286e24

989925502500 has 945 divisors, whose sum is σ = 3621595195911. Its totient is φ = 236400120000.

The previous prime is 989925502483. The next prime is 989925502513. The reversal of 989925502500 is 5205529989.

The square root of 989925502500 is 994950.

It is a perfect power (a square), and thus also a powerful number.

989925502500 is a `hidden beast` number, since 9 + 89 + 9 + 2 + 5 + 50 + 2 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77610159396 + 912315343104 = 278586^2 + 955152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 14775007467 + ... + 14775007533.

Almost surely, 2989925502500 is an apocalyptic number.

989925502500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

989925502500 is the 994950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989925502500

989925502500 is an abundant number, since it is smaller than the sum of its proper divisors (2631669693411).

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

989925502500 is an equidigital number, since it uses as much as digits as its factorization.

989925502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 989925502500 in words is "nine hundred eighty-nine billion, nine hundred twenty-five million, five hundred two thousand, five hundred".