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2500495920 = 243451329683
BaseRepresentation
bin1001010100001010…
…1000101000110000
320110021010100120000
42111002220220300
520110111332140
61052042150000
7115651602366
oct22502505060
96407110500
102500495920
11107351265a
125994b2300
1330b0740b0
1419a13d636
15e97c7a30
hex950a8a30

2500495920 has 200 divisors, whose sum is σ = 9352953456. Its totient is φ = 615485952.

The previous prime is 2500495909. The next prime is 2500495961. The reversal of 2500495920 is 295940052.

It is a happy number.

2500495920 is a `hidden beast` number, since 25 + 0 + 0 + 49 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69399 + ... + 99081.

Almost surely, 22500495920 is an apocalyptic number.

2500495920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500495920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676476728).

2500495920 is an abundant number, since it is smaller than the sum of its proper divisors (6852457536).

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

2500495920 is a wasteful number, since it uses less digits than its factorization.

2500495920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29721 (or 29706 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2500495920 is about 50004.9589540877. The cubic root of 2500495920 is about 1357.2985446297.

The spelling of 2500495920 in words is "two billion, five hundred million, four hundred ninety-five thousand, nine hundred twenty".