Search a number
-
+
31093318656 = 2103273113409
BaseRepresentation
bin11100111101010011…
…100110010000000000
32222020221120020121200
4130331103212100000
51002134342144111
622141205421200
72150343563541
oct347523462000
988227506550
1031093318656
1112206405574
12603910a800
132c16a4690a
14170d7284c8
15c1eae0256
hex73d4e6400

31093318656 has 264 divisors, whose sum is σ = 92041062360. Its totient is φ = 10107224064.

The previous prime is 31093318643. The next prime is 31093318667. The reversal of 31093318656 is 65681339013.

It can be written as a sum of positive squares in 4 ways, for example, as 3542630400 + 27550688256 = 59520^2 + 165984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76022580 + ... + 76022988.

Almost surely, 231093318656 is an apocalyptic number.

31093318656 is a gapful number since it is divisible by the number (36) 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 31093318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46020531180).

31093318656 is an abundant number, since it is smaller than the sum of its proper divisors (60947743704).

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

31093318656 is a wasteful number, since it uses less digits than its factorization.

31093318656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 31093318656 in words is "thirty-one billion, ninety-three million, three hundred eighteen thousand, six hundred fifty-six".