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23448960000 = 21033542359
BaseRepresentation
bin10101110101101010…
…101011110000000000
32020112012100120221000
4111311222223300000
5341010413210000
614434452332000
71460041604604
oct256552536000
966465316830
1023448960000
119a43365794
124665014000
1322990b367b
1411c6399504
15923945000
hex575aabc00

23448960000 has 880 divisors, whose sum is σ = 92085523200. Its totient is φ = 5879808000.

The previous prime is 23448959999. The next prime is 23448960019. The reversal of 23448960000 is 6984432.

It is a happy number.

23448960000 is a `hidden beast` number, since 2 + 3 + 4 + 48 + 9 + 600 + 0 + 0 = 666.

It is a super-4 number, since 4×234489600004 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397439971 + ... + 397440029.

It is an arithmetic number, because the mean of its divisors is an integer number (104642640).

Almost surely, 223448960000 is an apocalyptic number.

23448960000 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 23448960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46042761600).

23448960000 is an abundant number, since it is smaller than the sum of its proper divisors (68636563200).

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

23448960000 is an equidigital number, since it uses as much as digits as its factorization.

23448960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23448960000 in words is "twenty-three billion, four hundred forty-eight million, nine hundred sixty thousand".