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230726450853360 = 2433572111483133633
BaseRepresentation
bin110100011101100000110000…
…001001001011010111110000
31010020221020022001202210021000
4310131200300021023113300
5220220210232404301420
62134414133535402000
766412302353255100
oct6435406011132760
91106836261683230
10230726450853360
11675755a1531690
1221a643b9683300
139b98545b46987
1440d931120b200
151ba1ad0180690
hexd1d83024b5f0

230726450853360 has 960 divisors, whose sum is σ = 1009206191669760. Its totient is φ = 47910471598080.

The previous prime is 230726450853341. The next prime is 230726450853373. The reversal of 230726450853360 is 63358054627032.

230726450853360 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 6 + 45 + 0 + 8 + 533 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 230726450853297 and 230726450853306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1726501104 + ... + 1726634736.

It is an arithmetic number, because the mean of its divisors is an integer number (1051256449656).

Almost surely, 2230726450853360 is an apocalyptic number.

230726450853360 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 230726450853360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504603095834880).

230726450853360 is an abundant number, since it is smaller than the sum of its proper divisors (778479740816400).

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

230726450853360 is a wasteful number, since it uses less digits than its factorization.

230726450853360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135163 (or 135144 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 230726450853360 in words is "two hundred thirty trillion, seven hundred twenty-six billion, four hundred fifty million, eight hundred fifty-three thousand, three hundred sixty".