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23425459200 = 2103452111379
BaseRepresentation
bin10101110100010001…
…000010010000000000
32020110120010121220000
4111310101002100000
5340433404143300
614432252520000
71456335055263
oct256421022000
966416117800
1023425459200
119a31074240
124659180000
132294275980
1411c31dccda
15921851c00
hex574442400

23425459200 has 1320 divisors, whose sum is σ = 103196311680. Its totient is φ = 5175705600.

The previous prime is 23425459193. The next prime is 23425459217. The reversal of 23425459200 is 295452432.

23425459200 is a `hidden beast` number, since 23 + 4 + 2 + 545 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 296524761 + ... + 296524839.

It is an arithmetic number, because the mean of its divisors is an integer number (78179024).

Almost surely, 223425459200 is an apocalyptic number.

23425459200 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 23425459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51598155840).

23425459200 is an abundant number, since it is smaller than the sum of its proper divisors (79770852480).

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

23425459200 is a wasteful number, since it uses less digits than its factorization.

23425459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 23425459200 in words is "twenty-three billion, four hundred twenty-five million, four hundred fifty-nine thousand, two hundred".