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23242636032 = 2837112913553
BaseRepresentation
bin10101101001010111…
…100111101100000000
32012222211010020122120
4111221113213230000
5340100103323112
614402202204240
71451655101160
oct255127475400
965884106576
1023242636032
119947953510
124607ab3680
132265423a95
1411a6c0c5a0
1591078be8c
hex5695e7b00

23242636032 has 288 divisors, whose sum is σ = 79788602880. Its totient is φ = 5828444160.

The previous prime is 23242636031. The next prime is 23242636033. The reversal of 23242636032 is 23063624232.

It is an interprime number because it is at equal distance from previous prime (23242636031) and next prime (23242636033).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23242635984 and 23242636002.

It is not an unprimeable number, because it can be changed into a prime (23242636031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708168 + ... + 1721720.

It is an arithmetic number, because the mean of its divisors is an integer number (277043760).

Almost surely, 223242636032 is an apocalyptic number.

23242636032 is a gapful number since it is divisible by the number (22) 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 23242636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39894301440).

23242636032 is an abundant number, since it is smaller than the sum of its proper divisors (56545966848).

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

23242636032 is a wasteful number, since it uses less digits than its factorization.

23242636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 23242636032 in words is "twenty-three billion, two hundred forty-two million, six hundred thirty-six thousand, thirty-two".