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13821186708 = 2233747938167
BaseRepresentation
bin11001101111100111…
…01001001010010100
31022200020000000212000
430313303221022110
5211301210433313
610203243555300
7666334101660
oct146763511224
938606000760
1013821186708
11595277715a
12281882bb30
1313c35621b4
1495184b8a0
1555d5b1673
hex337ce9294

13821186708 has 96 divisors (see below), whose sum is σ = 41038233600. Its totient is φ = 3940563168.

The previous prime is 13821186707. The next prime is 13821186751. The reversal of 13821186708 is 80768112831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13821186707) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343041 + ... + 381207.

It is an arithmetic number, because the mean of its divisors is an integer number (427481600).

Almost surely, 213821186708 is an apocalyptic number.

13821186708 is a gapful number since it is divisible by the number (18) 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 13821186708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519116800).

13821186708 is an abundant number, since it is smaller than the sum of its proper divisors (27217046892).

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

13821186708 is a wasteful number, since it uses less digits than its factorization.

13821186708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38666 (or 38658 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 13821186708 in words is "thirteen billion, eight hundred twenty-one million, one hundred eighty-six thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 479 756 958 1437 1916 2874 3353 4311 5748 6706 8622 10059 12933 13412 17244 20118 25866 30177 38167 40236 51732 60354 76334 90531 114501 120708 152668 181062 229002 267169 343503 362124 458004 534338 687006 801507 1030509 1068676 1374012 1603014 2061018 2404521 3206028 4122036 4809042 7213563 9618084 14427126 18281993 28854252 36563986 54845979 73127972 109691958 127973951 164537937 219383916 255947902 329075874 383921853 493613811 511895804 658151748 767843706 987227622 1151765559 1535687412 1974455244 2303531118 3455296677 4607062236 6910593354 13821186708