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2630147520 = 26357211131723
BaseRepresentation
bin1001110011000100…
…1101110111000000
320210022002100010010
42130301031313000
520341304210040
61112553104520
7122114612400
oct23461156700
96708070103
102630147520
11112a716840
126149b8140
1332bb9a110
141ad44c800
15105d87e80
hex9cc4ddc0

2630147520 has 1344 divisors, whose sum is σ = 12609063936. Its totient is φ = 454164480.

The previous prime is 2630147519. The next prime is 2630147549. The reversal of 2630147520 is 257410362.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114354229 + ... + 114354251.

It is an arithmetic number, because the mean of its divisors is an integer number (9381744).

Almost surely, 22630147520 is an apocalyptic number.

2630147520 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 2630147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304531968).

2630147520 is an abundant number, since it is smaller than the sum of its proper divisors (9978916416).

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

2630147520 is a wasteful number, since it uses less digits than its factorization.

2630147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2630147520 is about 51284.9638783143. The cubic root of 2630147520 is about 1380.3631894313.

Adding to 2630147520 its reverse (257410362), we get a palindrome (2887557882).

The spelling of 2630147520 in words is "two billion, six hundred thirty million, one hundred forty-seven thousand, five hundred twenty".