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938942249839 = 11596126938807
BaseRepresentation
bin11011010100111010101…
…00011011101101101111
310022202120111111100021221
431222131110123231233
5110340423203443324
61555202155004211
7124556602303426
oct15523524335557
93282514440257
10938942249839
11332226470550
12131b81a39667
136a7076615a9
14336332d22bd
15196562260e4
hexda9d51bb6f

938942249839 has 32 divisors (see below), whose sum is σ = 1059251489280. Its totient is φ = 824960169600.

The previous prime is 938942249807. The next prime is 938942249879.

938942249839 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 938942249839 - 25 = 938942249807 is a prime.

It is a super-2 number, since 2×9389422498392 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938942249879) 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, 106608774 + ... + 106617580.

It is an arithmetic number, because the mean of its divisors is an integer number (33101609040).

Almost surely, 2938942249839 is an apocalyptic number.

938942249839 is a deficient number, since it is larger than the sum of its proper divisors (120309239441).

938942249839 is a wasteful number, since it uses less digits than its factorization.

938942249839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11631.

The product of its digits is 241864704, while the sum is 70.

The spelling of 938942249839 in words is "nine hundred thirty-eight billion, nine hundred forty-two million, two hundred forty-nine thousand, eight hundred thirty-nine".

Divisors: 1 11 59 61 649 671 2693 3599 8807 29623 39589 96877 158887 164273 519613 537227 1747757 1807003 5715743 5909497 9692107 23717251 31696393 106613177 260889761 348660323 1399317809 1446752311 15392495899 15914275421 85358386349 938942249839