Search a number
-
+
13677705042 = 2341377914713
BaseRepresentation
bin11001011110100000…
…10011011101010010
31022022020000102000020
430233100103131102
5211002443030132
610141120404310
7662642401041
oct145720233522
938266012006
1013677705042
115889787271
122798776696
13139c9061c1
1493a77c558
15550bbd52c
hex32f413752

13677705042 has 32 divisors (see below), whose sum is σ = 28031935680. Its totient is φ = 4446554880.

The previous prime is 13677705037. The next prime is 13677705061. The reversal of 13677705042 is 24050777631.

13677705042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13677704985 and 13677705003.

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 15 ways as a sum of consecutive naturals, for example, 922278 + ... + 936990.

It is an arithmetic number, because the mean of its divisors is an integer number (875997990).

Almost surely, 213677705042 is an apocalyptic number.

13677705042 is an abundant number, since it is smaller than the sum of its proper divisors (14354230638).

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

13677705042 is a wasteful number, since it uses less digits than its factorization.

13677705042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18538.

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 13677705042 in words is "thirteen billion, six hundred seventy-seven million, seven hundred five thousand, forty-two".

Divisors: 1 2 3 6 41 82 123 246 3779 7558 11337 14713 22674 29426 44139 88278 154939 309878 464817 603233 929634 1206466 1809699 3619398 55600427 111200854 166801281 333602562 2279617507 4559235014 6838852521 13677705042