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23238968485824 = 263572133122441
BaseRepresentation
bin1010100100010101111100…
…11101100010011111000000
310001021121211200002122200000
411102022332131202133000
511021221401413021244
6121231500145400000
74615650205626600
oct522127635423700
9101247750078600
1023238968485824
11744a6559650a3
122733a4b639000
13cc756b592c30
145a4ab4810c00
152a4773bcc169
hex1522be7627c0

23238968485824 has 1512 divisors, whose sum is σ = 89454646545264. Its totient is φ = 5928820531200.

The previous prime is 23238968485819. The next prime is 23238968485849. The reversal of 23238968485824 is 42858486983232.

23238968485824 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 8 + 9 + 68 + 485 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9520264444 + ... + 9520266884.

It is an arithmetic number, because the mean of its divisors is an integer number (59163126022).

Almost surely, 223238968485824 is an apocalyptic number.

23238968485824 is a gapful number since it is divisible by the number (24) 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 23238968485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44727323272632).

23238968485824 is an abundant number, since it is smaller than the sum of its proper divisors (66215678059440).

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

23238968485824 is a wasteful number, since it uses less digits than its factorization.

23238968485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2497 counting only the distinct ones).

The product of its digits is 1274019840, while the sum is 72.

The spelling of 23238968485824 in words is "twenty-three trillion, two hundred thirty-eight billion, nine hundred sixty-eight million, four hundred eighty-five thousand, eight hundred twenty-four".