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13771679124 = 2237317196817
BaseRepresentation
bin11001101001101101…
…10010010110010100
31022112202211210012210
430310312302112110
5211201022212444
610154314513420
7665163225000
oct146466622624
938482753183
1013771679124
1159278323a5
122804135870
1313b6219c78
14949041700
155590827b9
hex334db2594

13771679124 has 96 divisors (see below), whose sum is σ = 39678508800. Its totient is φ = 3703289856.

The previous prime is 13771679113. The next prime is 13771679183. The reversal of 13771679124 is 42197617731.

13771679124 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 31 ways as a sum of consecutive naturals, for example, 28437 + ... + 168380.

It is an arithmetic number, because the mean of its divisors is an integer number (413317800).

Almost surely, 213771679124 is an apocalyptic number.

13771679124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13771679124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839254400).

13771679124 is an abundant number, since it is smaller than the sum of its proper divisors (25906829676).

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

13771679124 is a wasteful number, since it uses less digits than its factorization.

13771679124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196862 (or 196846 counting only the distinct ones).

The product of its digits is 444528, while the sum is 48.

The spelling of 13771679124 in words is "thirteen billion, seven hundred seventy-one million, six hundred seventy-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 2058 2499 3332 4116 4998 5831 9996 11662 17493 23324 34986 69972 196817 393634 590451 787268 1180902 1377719 2361804 2755438 3345889 4133157 5510876 6691778 8266314 9644033 10037667 13383556 16532628 19288066 20075334 23421223 28932099 38576132 40150668 46842446 57864198 67508231 70263669 93684892 115728396 135016462 140527338 163948561 202524693 270032924 281054676 327897122 405049386 491845683 655794244 810098772 983691366 1147639927 1967382732 2295279854 3442919781 4590559708 6885839562 13771679124