Search a number
-
+
11816551300 = 225223712692
BaseRepresentation
bin10110000000101001…
…00100001110000100
31010111111221000001011
423000110210032010
5143200014120200
65232313412004
7565553012611
oct130024441604
933444830034
1011816551300
115014153984
12235940a004
131164153cb8
14801507508
154925d55ba
hex2c0524384

11816551300 has 108 divisors (see below), whose sum is σ = 27234881856. Its totient is φ = 4440867200.

The previous prime is 11816551291. The next prime is 11816551303. The reversal of 11816551300 is 315561811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816551303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43927566 + ... + 43927834.

It is an arithmetic number, because the mean of its divisors is an integer number (252174832).

Almost surely, 211816551300 is an apocalyptic number.

11816551300 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 11816551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617440928).

11816551300 is an abundant number, since it is smaller than the sum of its proper divisors (15418330556).

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

11816551300 is a wasteful number, since it uses less digits than its factorization.

11816551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The spelling of 11816551300 in words is "eleven billion, eight hundred sixteen million, five hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 269 284 355 460 538 575 710 1076 1150 1345 1420 1633 1775 2300 2690 3266 3550 5380 6187 6532 6725 7100 8165 12374 13450 16330 19099 24748 26900 30935 32660 38198 40825 61870 72361 76396 81650 95495 123740 144722 154675 163300 190990 289444 309350 361805 381980 439277 477475 618700 723610 878554 954950 1447220 1664303 1757108 1809025 1909900 2196385 3328606 3618050 4392770 5137631 6657212 7236100 8321515 8785540 10275262 10981925 16643030 20550524 21963850 25688155 33286060 41607575 43927700 51376310 83215150 102752620 118165513 128440775 166430300 236331026 256881550 472662052 513763100 590827565 1181655130 2363310260 2954137825 5908275650 11816551300