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230793554364681 = 37111003799542323
BaseRepresentation
bin110100011110011111001111…
…110100110000100100001001
31010021011122111121212100122010
4310132133033310300210021
5220222310144404132211
62134505032320450133
766420166266560250
oct6436371764604411
91107148447770563
10230793554364681
11675a0aa6732960
1221a75406479949
139ba197b17c8a9
1440dc679283797
151ba370b3474a6
hexd1e7cfd30909

230793554364681 has 32 divisors (see below), whose sum is σ = 383695045751808. Its totient is φ = 119880809231040.

The previous prime is 230793554364623. The next prime is 230793554364731. The reversal of 230793554364681 is 186463455397032.

It is not a de Polignac number, because 230793554364681 - 29 = 230793554364169 is a prime.

It is a super-2 number, since 2×2307935543646812 (a number of 30 digits) contains 22 as substring.

It is a partition number, being equal to the number of ways a set of 250 identical objects can be partitioned into subset.

It is not an unprimeable number, because it can be changed into a prime (230793554364601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47452615 + ... + 52089708.

It is an arithmetic number, because the mean of its divisors is an integer number (11990470179744).

It is a 2-persistent number, because it is pandigital, and so is 2⋅230793554364681 = 461587108729362, but 3⋅230793554364681 = 692380663094043 is not.

Almost surely, 2230793554364681 is an apocalyptic number.

230793554364681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230793554364681 is a deficient number, since it is larger than the sum of its proper divisors (152901491387127).

230793554364681 is a wasteful number, since it uses less digits than its factorization.

230793554364681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99552381.

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 230793554364681 in words is "two hundred thirty trillion, seven hundred ninety-three billion, five hundred fifty-four million, three hundred sixty-four thousand, six hundred eighty-one".

Divisors: 1 3 7 11 21 33 77 231 10037 30111 70259 110407 210777 331221 772849 2318547 99542323 298626969 696796261 1094965553 2090388783 3284896659 7664758871 22994276613 999106295951 2997318887853 6993744071657 10990169255461 20981232214971 32970507766383 76931184788227 230793554364681