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23800413648 = 24311208121661
BaseRepresentation
bin10110001010100111…
…010111110111010000
32021102200200021200210
4112022213113313100
5342220401214043
614533405244120
71501540115034
oct261247276720
967380607623
1023800413648
11a103793050
124742863640
132323b583cb
14121ad241c4
15944719633
hex58a9d7dd0

23800413648 has 80 divisors (see below), whose sum is σ = 67109222592. Its totient is φ = 7208448000.

The previous prime is 23800413647. The next prime is 23800413653. The reversal of 23800413648 is 84631400832.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23800413647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1087938 + ... + 1109598.

Almost surely, 223800413648 is an apocalyptic number.

It is an amenable number.

23800413648 is an abundant number, since it is smaller than the sum of its proper divisors (43308808944).

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

23800413648 is a wasteful number, since it uses less digits than its factorization.

23800413648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23764 (or 23758 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 23800413648 in words is "twenty-three billion, eight hundred million, four hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2081 4162 6243 8324 12486 16648 21661 22891 24972 33296 43322 45782 49944 64983 68673 86644 91564 99888 129966 137346 173288 183128 238271 259932 274692 346576 366256 476542 519864 549384 714813 953084 1039728 1098768 1429626 1906168 2859252 3812336 5718504 11437008 45076541 90153082 135229623 180306164 270459246 360612328 495841951 540918492 721224656 991683902 1081836984 1487525853 1983367804 2163673968 2975051706 3966735608 5950103412 7933471216 11900206824 23800413648