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23782644757 is a prime number
BaseRepresentation
bin10110001001100011…
…100101110000010101
32021101110020112100201
4112021203211300111
5342201324113012
614531532340501
71501233100504
oct261143456025
967343215321
1023782644757
11a0a4757013
124738914731
132320276681
14121881a83b
15942da9857
hex5898e5c15

23782644757 has 2 divisors, whose sum is σ = 23782644758. Its totient is φ = 23782644756.

The previous prime is 23782644733. The next prime is 23782644763. The reversal of 23782644757 is 75744628732.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22970736721 + 811908036 = 151561^2 + 28494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23782644757 is a prime.

It is a super-2 number, since 2×237826447572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23782644698 and 23782644707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23782644857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11891322378 + 11891322379.

It is an arithmetic number, because the mean of its divisors is an integer number (11891322379).

Almost surely, 223782644757 is an apocalyptic number.

It is an amenable number.

23782644757 is a deficient number, since it is larger than the sum of its proper divisors (1).

23782644757 is an equidigital number, since it uses as much as digits as its factorization.

23782644757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15805440, while the sum is 55.

The spelling of 23782644757 in words is "twenty-three billion, seven hundred eighty-two million, six hundred forty-four thousand, seven hundred fifty-seven".