Search a number
-
+
13436829210 = 2357129749333
BaseRepresentation
bin11001000001110010…
…11011111000011010
31021200102202122111010
430200321123320122
5210004312013320
610101153514350
7653656110120
oct144071337032
937612678433
1013436829210
115775815732
12272bb729b6
131361a3981c
14916799910
1553998cae0
hex320e5be1a

13436829210 has 64 divisors (see below), whose sum is σ = 36884466432. Its totient is φ = 3068845056.

The previous prime is 13436829191. The next prime is 13436829233. The reversal of 13436829210 is 1292863431.

13436829210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 247704 + ... + 297036.

It is an arithmetic number, because the mean of its divisors is an integer number (576319788).

Almost surely, 213436829210 is an apocalyptic number.

13436829210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13436829210 is an abundant number, since it is smaller than the sum of its proper divisors (23447637222).

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

13436829210 is a wasteful number, since it uses less digits than its factorization.

13436829210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50647.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13436829210 in words is "thirteen billion, four hundred thirty-six million, eight hundred twenty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1297 2594 3891 6485 7782 9079 12970 18158 19455 27237 38910 45395 49333 54474 90790 98666 136185 147999 246665 272370 295998 345331 493330 690662 739995 1035993 1479990 1726655 2071986 3453310 5179965 10359930 63984901 127969802 191954703 319924505 383909406 447894307 639849010 895788614 959773515 1343682921 1919547030 2239471535 2687365842 4478943070 6718414605 13436829210