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10023965248 = 2611223167337
BaseRepresentation
bin10010101010111100…
…11001001001000000
3221212120212012021011
421111132121021000
5131012113341443
64334400210304
7503255204323
oct112536311100
927776765234
1010023965248
1142842a3500
121b39009994
13c3995b6ab
146b14007ba
153da043b9d
hex255799240

10023965248 has 168 divisors, whose sum is σ = 23019325056. Its totient is φ = 4319293440.

The previous prime is 10023965243. The next prime is 10023965251. The reversal of 10023965248 is 84256932001.

It is a super-2 number, since 2×100239652482 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10023965248.

It is not an unprimeable number, because it can be changed into a prime (10023965243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29744536 + ... + 29744872.

It is an arithmetic number, because the mean of its divisors is an integer number (137019792).

Almost surely, 210023965248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509662528).

10023965248 is an abundant number, since it is smaller than the sum of its proper divisors (12995359808).

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

10023965248 is a wasteful number, since it uses less digits than its factorization.

10023965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 10023965248 in words is "ten billion, twenty-three million, nine hundred sixty-five thousand, two hundred forty-eight".