Search a number
-
+
231188253976960 = 2757314367577807
BaseRepresentation
bin110100100100001110110101…
…110000010010100110000000
31010022120101021220211010120121
4310210032311300102212000
5220300242021004230320
62135410230115150024
766460541311120660
oct6444166560224600
91108511256733517
10231188253976960
116773342a339535
1221b199ba5a5314
139bccc60656c27
1441137dd5101a0
151badb0c7508aa
hexd243b5c12980

231188253976960 has 512 divisors, whose sum is σ = 677136985620480. Its totient is φ = 73805332930560.

The previous prime is 231188253976937. The next prime is 231188253977029. The reversal of 231188253976960 is 69679352881132.

It is a happy number.

It is a super-2 number, since 2×2311882539769602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 231188253976960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399824377 + ... + 400402183.

It is an arithmetic number, because the mean of its divisors is an integer number (1322533175040).

Almost surely, 2231188253976960 is an apocalyptic number.

231188253976960 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 231188253976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338568492810240).

231188253976960 is an abundant number, since it is smaller than the sum of its proper divisors (445948731643520).

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

231188253976960 is a wasteful number, since it uses less digits than its factorization.

231188253976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577974 (or 577962 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 231188253976960 in words is "two hundred thirty-one trillion, one hundred eighty-eight billion, two hundred fifty-three million, nine hundred seventy-six thousand, nine hundred sixty".