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23542112000 = 285311471423
BaseRepresentation
bin10101111011001110…
…000001111100000000
32020202200122012110002
4111323032001330000
5341203240041000
614452021055132
71462252436021
oct257316017400
966680565402
1023542112000
119a909aa210
1246902574a8
1322b249a1b4
1411d48c6c48
1592bbe58d5
hex57b381f00

23542112000 has 288 divisors, whose sum is σ = 65384976384. Its totient is φ = 8372736000.

The previous prime is 23542111993. The next prime is 23542112017. The reversal of 23542112000 is 21124532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16543289 + ... + 16544711.

It is an arithmetic number, because the mean of its divisors is an integer number (227031168).

Almost surely, 223542112000 is an apocalyptic number.

23542112000 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 23542112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32692488192).

23542112000 is an abundant number, since it is smaller than the sum of its proper divisors (41842864384).

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

23542112000 is a wasteful number, since it uses less digits than its factorization.

23542112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 23542112000 its reverse (21124532), we get a palindrome (23563236532).

The spelling of 23542112000 in words is "twenty-three billion, five hundred forty-two million, one hundred twelve thousand".