Search a number
-
+
23485921920 = 273352359093
BaseRepresentation
bin10101110111110111…
…101011101010000000
32020121202220110011000
4111313313223222000
5341044344000140
614442252452000
71461001020366
oct256767535200
966552813130
1023485921920
119a6221082a
12467547a000
1322a3955426
1411cb25b636
15926ce6a30
hex577deba80

23485921920 has 256 divisors, whose sum is σ = 86797267200. Its totient is φ = 5990510592.

The previous prime is 23485921903. The next prime is 23485921951. The reversal of 23485921920 is 2912958432.

23485921920 is a `hidden beast` number, since 2 + 3 + 48 + 592 + 19 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 367894 + ... + 426986.

It is an arithmetic number, because the mean of its divisors is an integer number (339051825).

Almost surely, 223485921920 is an apocalyptic number.

23485921920 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 23485921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43398633600).

23485921920 is an abundant number, since it is smaller than the sum of its proper divisors (63311345280).

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

23485921920 is a wasteful number, since it uses less digits than its factorization.

23485921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59144 (or 59126 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 23485921920 in words is "twenty-three billion, four hundred eighty-five million, nine hundred twenty-one thousand, nine hundred twenty".