Search a number
-
+
13733186712 = 2337671220077
BaseRepresentation
bin11001100101000111…
…11100110010011000
31022110002102011112220
430302203330302120
5211111143433322
610150421504040
7664215106140
oct146243746230
938402364486
1013733186712
115908031493
1227b3272020
1313ab2606ab
14943ca1920
155559cc55c
hex3328fcc98

13733186712 has 64 divisors (see below), whose sum is σ = 39823345920. Its totient is φ = 3865200768.

The previous prime is 13733186711. The next prime is 13733186777. The reversal of 13733186712 is 21768133731.

13733186712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13733186711) by changing a digit.

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, 598783 + ... + 621294.

It is an arithmetic number, because the mean of its divisors is an integer number (622239780).

Almost surely, 213733186712 is an apocalyptic number.

13733186712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13733186712 is an abundant number, since it is smaller than the sum of its proper divisors (26090159208).

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

13733186712 is a wasteful number, since it uses less digits than its factorization.

13733186712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220160 (or 1220156 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The spelling of 13733186712 in words is "thirteen billion, seven hundred thirty-three million, one hundred eighty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 1220077 2440154 3660231 4880308 7320462 8540539 9760616 14640924 17081078 25621617 29281848 34162156 51243234 68324312 81745159 102486468 163490318 204972936 245235477 326980636 490470954 572216113 653961272 980941908 1144432226 1716648339 1961883816 2288864452 3433296678 4577728904 6866593356 13733186712