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23461152000 = 2835311131709
BaseRepresentation
bin10101110110011001…
…001100010100000000
32020120001022000012120
4111312121030110000
5341022023331000
614440005524240
71460250334026
oct256631142400
966501260176
1023461152000
119a4a232820
124669113680
13229b791b80
1411c7c50716
15924a526a0
hex57664c500

23461152000 has 576 divisors, whose sum is σ = 91603249920. Its totient is φ = 5246976000.

The previous prime is 23461151999. The next prime is 23461152007. The reversal of 23461152000 is 25116432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23461152007) 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, 13727146 + ... + 13728854.

It is an arithmetic number, because the mean of its divisors is an integer number (159033420).

Almost surely, 223461152000 is an apocalyptic number.

23461152000 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 23461152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801624960).

23461152000 is an abundant number, since it is smaller than the sum of its proper divisors (68142097920).

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

23461152000 is a wasteful number, since it uses less digits than its factorization.

23461152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 23461152000 its reverse (25116432), we get a palindrome (23486268432).

The spelling of 23461152000 in words is "twenty-three billion, four hundred sixty-one million, one hundred fifty-two thousand".