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23454399360 = 273574314049
BaseRepresentation
bin10101110101111111…
…011011101110000000
32020112120120221022210
4111311333123232000
5341013311234420
614435205102120
71460136051030
oct256577335600
966476527283
1023454399360
119a46440427
1246669b7940
13229a269422
1411c6db38c0
1592416b9e0
hex575fdbb80

23454399360 has 256 divisors, whose sum is σ = 85660416000. Its totient is φ = 5347246080.

The previous prime is 23454399359. The next prime is 23454399373. The reversal of 23454399360 is 6399345432.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5790616 + ... + 5794664.

It is an arithmetic number, because the mean of its divisors is an integer number (334611000).

Almost surely, 223454399360 is an apocalyptic number.

23454399360 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 23454399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830208000).

23454399360 is an abundant number, since it is smaller than the sum of its proper divisors (62206016640).

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

23454399360 is a wasteful number, since it uses less digits than its factorization.

23454399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 23454399360 in words is "twenty-three billion, four hundred fifty-four million, three hundred ninety-nine thousand, three hundred sixty".