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23269251024 = 24341710110457
BaseRepresentation
bin10101101010111101…
…001001011111010000
32020001200012102120000
4111222331021133100
5340123412013044
614404552450000
71452430240665
oct255275113720
966050172500
1023269251024
119960981778
1246149a9900
13226aab20b6
1411aa579a6c
15912c97d69
hex56af497d0

23269251024 has 200 divisors, whose sum is σ = 72022530888. Its totient is φ = 7227187200.

The previous prime is 23269251001. The next prime is 23269251029. The reversal of 23269251024 is 42015296232.

23269251024 is a `hidden beast` number, since 2 + 32 + 6 + 92 + 510 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17886387600 + 5382863424 = 133740^2 + 73368^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 23269251024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23269251029) 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 39 ways as a sum of consecutive naturals, for example, 2220004 + ... + 2230460.

Almost surely, 223269251024 is an apocalyptic number.

23269251024 is a gapful number since it is divisible by the number (24) 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 23269251024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36011265444).

23269251024 is an abundant number, since it is smaller than the sum of its proper divisors (48753279864).

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

23269251024 is a wasteful number, since it uses less digits than its factorization.

23269251024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595 (or 10580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23269251024 in words is "twenty-three billion, two hundred sixty-nine million, two hundred fifty-one thousand, twenty-four".