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13677103740 = 2235435301203
BaseRepresentation
bin11001011110011100…
…00000101001111100
31022022011212212011210
430233032000221330
5211002314304430
610141055444420
7662634315006
oct145716005174
938264785153
1013677103740
115889406523
122798526710
13139c7555c1
1493a663376
15550b002b0
hex32f380a7c

13677103740 has 48 divisors (see below), whose sum is σ = 39186499968. Its totient is φ = 3562407744.

The previous prime is 13677103669. The next prime is 13677103753. The reversal of 13677103740 is 4730177631.

It is a happy number.

13677103740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 2648022 + ... + 2653181.

It is an arithmetic number, because the mean of its divisors is an integer number (816385416).

Almost surely, 213677103740 is an apocalyptic number.

13677103740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13677103740 is an abundant number, since it is smaller than the sum of its proper divisors (25509396228).

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

13677103740 is a wasteful number, since it uses less digits than its factorization.

13677103740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301258 (or 5301256 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The spelling of 13677103740 in words is "thirteen billion, six hundred seventy-seven million, one hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 5301203 10602406 15903609 21204812 26506015 31807218 53012030 63614436 79518045 106024060 159036090 227951729 318072180 455903458 683855187 911806916 1139758645 1367710374 2279517290 2735420748 3419275935 4559034580 6838551870 13677103740