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23649016608 = 253672171217
BaseRepresentation
bin10110000001100101…
…110101101100100000
32021001010210112000000
4112001211311230200
5341413122012413
614510400300000
71465021216200
oct260145655440
967033715000
1023649016608
11a036287228
124700011600
1322cb68a669
141204b94400
159362b1073
hex581975b20

23649016608 has 504 divisors, whose sum is σ = 86050888812. Its totient is φ = 6354173952.

The previous prime is 23649016597. The next prime is 23649016621. The reversal of 23649016608 is 80661094632.

23649016608 is a `hidden beast` number, since 2 + 36 + 4 + 9 + 0 + 1 + 6 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23552427024 + 96589584 = 153468^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19431616 + ... + 19432832.

Almost surely, 223649016608 is an apocalyptic number.

23649016608 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 23649016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43025444406).

23649016608 is an abundant number, since it is smaller than the sum of its proper divisors (62401872204).

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

23649016608 is a wasteful number, since it uses less digits than its factorization.

23649016608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23649016608 in words is "twenty-three billion, six hundred forty-nine million, sixteen thousand, six hundred eight".