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23424871680 = 283357372617
BaseRepresentation
bin10101110100001110…
…110010110100000000
32020110112000202222000
4111310032302310000
5340433231343210
614432232144000
71456330060350
oct256416626400
966415022860
1023424871680
119a30802891
124658b38000
1322940cb422
1411c30c8b60
15921787ac0
hex5743b2d00

23424871680 has 576 divisors, whose sum is σ = 97605742080. Its totient is φ = 5207556096.

The previous prime is 23424871661. The next prime is 23424871681. The reversal of 23424871680 is 8617842432.

It is a happy number.

23424871680 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 487 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×234248716802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424871681) 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, 8949732 + ... + 8952348.

Almost surely, 223424871680 is an apocalyptic number.

23424871680 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 23424871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48802871040).

23424871680 is an abundant number, since it is smaller than the sum of its proper divisors (74180870400).

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

23424871680 is a wasteful number, since it uses less digits than its factorization.

23424871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 23424871680 in words is "twenty-three billion, four hundred twenty-four million, eight hundred seventy-one thousand, six hundred eighty".