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23149113600 = 2835219233189
BaseRepresentation
bin10101100011110010…
…110111000100000000
32012202022010210222210
4111203302313010000
5334402133113400
614345021502120
71446441135054
oct254362670400
965668123883
1023149113600
1198aa086748
1245a0711940
13224bc3a772
141198625c64
15907466950
hex563cb7100

23149113600 has 864 divisors, whose sum is σ = 87594393600. Its totient is φ = 5352652800.

The previous prime is 23149113593. The next prime is 23149113643. The reversal of 23149113600 is 631194132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260102356 + ... + 260102444.

It is an arithmetic number, because the mean of its divisors is an integer number (101382400).

Almost surely, 223149113600 is an apocalyptic number.

23149113600 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 23149113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43797196800).

23149113600 is an abundant number, since it is smaller than the sum of its proper divisors (64445280000).

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

23149113600 is a wasteful number, since it uses less digits than its factorization.

23149113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 23149113600 in words is "twenty-three billion, one hundred forty-nine million, one hundred thirteen thousand, six hundred".