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23245221126624 = 25371012571332631
BaseRepresentation
bin1010100100100001100110…
…01001011110000111100000
310001022012222102112201100220
411102100303021132013200
511021322203102022444
6121234412425243040
74616261151326220
oct522206311360740
9101265872481326
1023245221126624
117452274362732
1227350b5633480
13cc8026ab73a3
145a5108dc6080
152a49dcabb619
hex15243325e1e0

23245221126624 has 192 divisors, whose sum is σ = 70700200123392. Its totient is φ = 6550142976000.

The previous prime is 23245221126619. The next prime is 23245221126667. The reversal of 23245221126624 is 42662112254232.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16776789 + ... + 18109419.

It is an arithmetic number, because the mean of its divisors is an integer number (368230208976).

Almost surely, 223245221126624 is an apocalyptic number.

23245221126624 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 23245221126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35350100061696).

23245221126624 is an abundant number, since it is smaller than the sum of its proper divisors (47454978996768).

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

23245221126624 is a wasteful number, since it uses less digits than its factorization.

23245221126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333009 (or 1333001 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 23245221126624 in words is "twenty-three trillion, two hundred forty-five billion, two hundred twenty-one million, one hundred twenty-six thousand, six hundred twenty-four".