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2653156968 = 2337117173277
BaseRepresentation
bin1001111000100011…
…1111011001101000
320211220101100010220
42132020333121220
520413202010333
61115134210040
7122514314340
oct23610773150
96756340126
102653156968
111141702110
12620653920
13333895287
141b251bd20
15107dd08b3
hex9e23f668

2653156968 has 256 divisors, whose sum is σ = 8531619840. Its totient is φ = 667699200.

The previous prime is 2653156967. The next prime is 2653157021. The reversal of 2653156968 is 8696513562.

It is a self number, because there is not a number n which added to its sum of digits gives 2653156968.

It is not an unprimeable number, because it can be changed into a prime (2653156963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9578046 + ... + 9578322.

It is an arithmetic number, because the mean of its divisors is an integer number (33326640).

Almost surely, 22653156968 is an apocalyptic number.

2653156968 is a gapful number since it is divisible by the number (28) 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 2653156968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265809920).

2653156968 is an abundant number, since it is smaller than the sum of its proper divisors (5878462872).

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

2653156968 is a wasteful number, since it uses less digits than its factorization.

2653156968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 2653156968 is about 51508.8047619045. The cubic root of 2653156968 is about 1384.3768074773.

The spelling of 2653156968 in words is "two billion, six hundred fifty-three million, one hundred fifty-six thousand, nine hundred sixty-eight".