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23273483040 = 25325192513389
BaseRepresentation
bin10101101011001101…
…010010101100100000
32020001222011102210100
4111223031102230200
5340131002424130
614405223302400
71452511225143
oct255315225440
966058142710
1023273483040
119963302305
1246162aaa00
13226b934452
1411aad5c05a
15913331c60
hex56b352b20

23273483040 has 288 divisors, whose sum is σ = 83958638400. Its totient is φ = 5854464000.

The previous prime is 23273482993. The next prime is 23273483083. The reversal of 23273483040 is 4038437232.

23273483040 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 348 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 23273482986 and 23273483004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6865666 + ... + 6869054.

It is an arithmetic number, because the mean of its divisors is an integer number (291523050).

Almost surely, 223273483040 is an apocalyptic number.

23273483040 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 23273483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41979319200).

23273483040 is an abundant number, since it is smaller than the sum of its proper divisors (60685155360).

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

23273483040 is a wasteful number, since it uses less digits than its factorization.

23273483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23273483040 in words is "twenty-three billion, two hundred seventy-three million, four hundred eighty-three thousand, forty".