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113344556680 = 2357380947981
BaseRepresentation
bin110100110001111011…
…1001010111010001000
3101211120011210001121201
41221203313022322020
53324112201303210
6124023023113544
711121532556365
oct1514367127210
9354504701551
10113344556680
1144084058043
1219b72a428b4
13a8c43acb24
1456b347b46c
152e35a4c53a
hex1a63dcae88

113344556680 has 64 divisors (see below), whose sum is σ = 258843697200. Its totient is φ = 44660551680.

The previous prime is 113344556659. The next prime is 113344556687. The reversal of 113344556680 is 86655443311.

It can be written as a sum of positive squares in 8 ways, for example, as 62423023716 + 50921532964 = 249846^2 + 225658^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113344556680.

It is not an unprimeable number, because it can be changed into a prime (113344556687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338290 + ... + 2386270.

Almost surely, 2113344556680 is an apocalyptic number.

113344556680 is a gapful number since it is divisible by the number (10) 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 113344556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129421848600).

113344556680 is an abundant number, since it is smaller than the sum of its proper divisors (145499140520).

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

113344556680 is a wasteful number, since it uses less digits than its factorization.

113344556680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48874 (or 48870 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

Adding to 113344556680 its reverse (86655443311), we get a palindrome (199999999991).

The spelling of 113344556680 in words is "one hundred thirteen billion, three hundred forty-four million, five hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 809 1460 1618 2920 3236 4045 6472 8090 16180 32360 47981 59057 95962 118114 191924 236228 239905 295285 383848 472456 479810 590570 959620 1181140 1919240 2362280 3502613 7005226 14010452 17513065 28020904 35026130 38816629 70052260 77633258 140104520 155266516 194083145 310533032 388166290 776332580 1552665160 2833613917 5667227834 11334455668 14168069585 22668911336 28336139170 56672278340 113344556680