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23442749155680 = 2535547769911597
BaseRepresentation
bin1010101010010001100001…
…01111000110100101100000
310002000002211111101021012220
411111020300233012211200
511033041222240440210
6121505241132351040
74636453115013651
oct525106057064540
9102002744337186
1023442749155680
117519017824538
122767441315480
131010845c3bc5a
145b08c6a71528
152a9bedeeec70
hex155230bc6960

23442749155680 has 192 divisors, whose sum is σ = 73995648249600. Its totient is φ = 6238622767104.

The previous prime is 23442749155619. The next prime is 23442749155711. The reversal of 23442749155680 is 8655194724432.

It is a super-2 number, since 2×234427491556802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2021443642 + ... + 2021455238.

It is an arithmetic number, because the mean of its divisors is an integer number (385394001300).

It is a 1-persistent number, because it is pandigital, but 2⋅23442749155680 = 46885498311360 is not.

Almost surely, 223442749155680 is an apocalyptic number.

23442749155680 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 23442749155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36997824124800).

23442749155680 is an abundant number, since it is smaller than the sum of its proper divisors (50552899093920).

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

23442749155680 is a wasteful number, since it uses less digits than its factorization.

23442749155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19853 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 23442749155680 in words is "twenty-three trillion, four hundred forty-two billion, seven hundred forty-nine million, one hundred fifty-five thousand, six hundred eighty".