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23442235287552 = 21135227207509
BaseRepresentation
bin1010101010010000100100…
…00110110110100000000000
310002000001111200110001200000
411111020102012312200000
511033034144213200202
6121505114134400000
74636434305140104
oct525102206664000
9102001450401600
1023442235287552
117518883755834
122767319200000
13101079363c783
145b0878709904
152a9bbdd4791c
hex1552121b6800

23442235287552 has 288 divisors, whose sum is σ = 70522738322400. Its totient is φ = 7779617685504.

The previous prime is 23442235287547. The next prime is 23442235287571. The reversal of 23442235287552 is 25578253224432.

23442235287552 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 2 + 2 + 3 + 5 + 2 + 87 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112865974 + ... + 113073482.

It is an arithmetic number, because the mean of its divisors is an integer number (244870619175).

Almost surely, 223442235287552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23442235287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35261369161200).

23442235287552 is an abundant number, since it is smaller than the sum of its proper divisors (47080503034848).

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

23442235287552 is an equidigital number, since it uses as much as digits as its factorization.

23442235287552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207773 (or 207741 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 54.

The spelling of 23442235287552 in words is "twenty-three trillion, four hundred forty-two billion, two hundred thirty-five million, two hundred eighty-seven thousand, five hundred fifty-two".