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23414552000 = 2653742353
BaseRepresentation
bin10101110011100111…
…011011010111000000
32020102210121111000122
4111303213123113000
5340423111131000
614431223035412
71456143260000
oct256347332700
966383544018
1023414552000
119a259a4524
12465559bb68
132291c271c8
1411c19a0000
159208ea085
hex5739db5c0

23414552000 has 560 divisors, whose sum is σ = 71919461952. Its totient is φ = 7533926400.

The previous prime is 23414551997. The next prime is 23414552011. The reversal of 23414552000 is 25541432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 441783974 + ... + 441784026.

Almost surely, 223414552000 is an apocalyptic number.

23414552000 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 23414552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35959730976).

23414552000 is an abundant number, since it is smaller than the sum of its proper divisors (48504909952).

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

23414552000 is an frugal number, since it uses more digits than its factorization.

23414552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 23414552000 in words is "twenty-three billion, four hundred fourteen million, five hundred fifty-two thousand".