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23012098560 = 29325112931101
BaseRepresentation
bin10101011011101000…
…001100001000000000
32012101202022201200200
4111123220030020000
5334112044123220
614323245045200
71443155416233
oct253350141000
965352281620
1023012098560
119839803280
124562856800
132229736c89
14118435b41a
158ea3ee890
hex55ba0c200

23012098560 has 960 divisors, whose sum is σ = 93761141760. Its totient is φ = 5160960000.

The previous prime is 23012098553. The next prime is 23012098561. The reversal of 23012098560 is 6589021032.

23012098560 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 0 + 98 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23012098561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227842510 + ... + 227842610.

It is an arithmetic number, because the mean of its divisors is an integer number (97667856).

Almost surely, 223012098560 is an apocalyptic number.

23012098560 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 23012098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46880570880).

23012098560 is an abundant number, since it is smaller than the sum of its proper divisors (70749043200).

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

23012098560 is a wasteful number, since it uses less digits than its factorization.

23012098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 23012098560 in words is "twenty-three billion, twelve million, ninety-eight thousand, five hundred sixty".