Search a number
-
+
113251263616 = 27193223753
BaseRepresentation
bin110100101111001001…
…1010010010010000000
3101211022200020021121001
41221132103102102000
53323414310413431
6124005451341344
711116320600061
oct1513623222200
9354280207531
10113251263616
1144036427637
1219b47751854
13a8aac7702a
1456a4d14568
152e2c76ee61
hex1a5e4d2480

113251263616 has 48 divisors (see below), whose sum is σ = 226802360610. Its totient is φ = 56329863168.

The previous prime is 113251263613. The next prime is 113251263617. The reversal of 113251263616 is 616362152311.

It can be written as a sum of positive squares in 3 ways, for example, as 81956238400 + 31295025216 = 286280^2 + 176904^2 .

It is not an unprimeable number, because it can be changed into a prime (113251263613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4755996 + ... + 4779748.

Almost surely, 2113251263616 is an apocalyptic number.

113251263616 is a gapful number since it is divisible by the number (16) 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 113251263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113401180305).

113251263616 is an abundant number, since it is smaller than the sum of its proper divisors (113551096994).

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

113251263616 is an frugal number, since it uses more digits than its factorization.

113251263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24153 (or 23948 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The spelling of 113251263616 in words is "one hundred thirteen billion, two hundred fifty-one million, two hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6176 12352 23753 24704 37249 47506 74498 95012 148996 190024 297992 380048 595984 760096 1191968 1520192 2383936 3040384 4584329 4767872 9168658 18337316 36674632 73349264 146698528 293397056 586794112 884775497 1769550994 3539101988 7078203976 14156407952 28312815904 56625631808 113251263616