Search a number
-
+
31275183826084 = 221121721927872
BaseRepresentation
bin1110001110001110100100…
…01110001110010010100100
311002201212201100000221212211
413013013102032032102210
513044403034024413314
6150303342054053204
76405362132151412
oct707072216162244
9132655640027784
1031275183826084
119a68804a22500
12361140b94a204
13145b3111136c3
147a1a26b602b2
1539381523d9c4
hex1c71d238e4a4

31275183826084 has 243 divisors, whose sum is σ = 67532788455489. Its totient is φ = 12659453832960.

The previous prime is 31275183826049. The next prime is 31275183826093. The reversal of 31275183826084 is 48062838157213.

The square root of 31275183826084 is 5592422.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24349191560100 + 6925992265984 = 4934490^2 + 2631728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39739750339 + ... + 39739751125.

Almost surely, 231275183826084 is an apocalyptic number.

31275183826084 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31275183826084 is the 5592422-nd square number.

It is an amenable number.

31275183826084 is an abundant number, since it is smaller than the sum of its proper divisors (36257604629405).

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

31275183826084 is a wasteful number, since it uses less digits than its factorization.

31275183826084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 31275183826084 in words is "thirty-one trillion, two hundred seventy-five billion, one hundred eighty-three million, eight hundred twenty-six thousand, eighty-four".