Search a number
-
+
23026008768 = 26371723431019
BaseRepresentation
bin10101011100011101…
…010000001011000000
32012102201111102220120
4111130131100023000
5334124124240033
614324503140240
71443414562620
oct253435201300
965381442816
1023026008768
119846644214
124567444680
13222c597579
14118613c880
158eb74b1b3
hex55c7502c0

23026008768 has 448 divisors, whose sum is σ = 78793482240. Its totient is φ = 5779243008.

The previous prime is 23026008703. The next prime is 23026008769. The reversal of 23026008768 is 86780062032.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23026008769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22596163 + ... + 22597181.

Almost surely, 223026008768 is an apocalyptic number.

23026008768 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 23026008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39396741120).

23026008768 is an abundant number, since it is smaller than the sum of its proper divisors (55767473472).

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

23026008768 is a wasteful number, since it uses less digits than its factorization.

23026008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 23026008768 in words is "twenty-three billion, twenty-six million, eight thousand, seven hundred sixty-eight".