Search a number
-
+
13826572188 = 223111341196523
BaseRepresentation
bin11001110000010000…
…01011111110011100
31022200121010122100020
430320020023332130
5211304100302223
610203555232140
7666430632042
oct147010137634
938617118306
1013826572188
115955815370
12281a5a8650
1313c46c9580
14952450392
1555dcc71e3
hex33820bf9c

13826572188 has 96 divisors (see below), whose sum is σ = 38826853632. Its totient is φ = 3773222400.

The previous prime is 13826572139. The next prime is 13826572211. The reversal of 13826572188 is 88127562831.

13826572188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13826572188.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27906 + ... + 168617.

It is an arithmetic number, because the mean of its divisors is an integer number (404446392).

Almost surely, 213826572188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826572188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413426816).

13826572188 is an abundant number, since it is smaller than the sum of its proper divisors (25000281444).

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

13826572188 is a wasteful number, since it uses less digits than its factorization.

13826572188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196595 (or 196593 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The spelling of 13826572188 in words is "thirteen billion, eight hundred twenty-six million, five hundred seventy-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 41 44 52 66 78 82 123 132 143 156 164 246 286 429 451 492 533 572 858 902 1066 1353 1599 1716 1804 2132 2706 3198 5412 5863 6396 11726 17589 23452 35178 70356 196523 393046 589569 786092 1179138 2161753 2358276 2554799 4323506 5109598 6485259 7664397 8057443 8647012 10219196 12970518 15328794 16114886 24172329 25941036 28102789 30657588 32229772 48344658 56205578 84308367 88631873 96689316 104746759 112411156 168616734 177263746 209493518 265895619 314240277 337233468 354527492 418987036 531791238 628480554 1063582476 1152214349 1256961108 2304428698 3456643047 4608857396 6913286094 13826572188