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13666927554 = 23371491511607
BaseRepresentation
bin11001011101001110…
…01100001111000010
31022021110201212002000
430232213030033002
5210442213140204
610140053404430
7662451652560
oct145647141702
938243655060
1013666927554
115883695a55
122795039716
13139a6017a7
14939174a30
1554ec90039
hex32e9cc3c2

13666927554 has 128 divisors (see below), whose sum is σ = 35195904000. Its totient is φ = 3850545600.

The previous prime is 13666927541. The next prime is 13666927559. The reversal of 13666927554 is 45572966631.

13666927554 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13666927554.

It is not an unprimeable number, because it can be changed into a prime (13666927559) 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 63 ways as a sum of consecutive naturals, for example, 8503819 + ... + 8505425.

It is an arithmetic number, because the mean of its divisors is an integer number (274968000).

Almost surely, 213666927554 is an apocalyptic number.

13666927554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666927554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597952000).

13666927554 is an abundant number, since it is smaller than the sum of its proper divisors (21528976446).

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

13666927554 is a wasteful number, since it uses less digits than its factorization.

13666927554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1919 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

13666927554 divided by its sum of digits (54) gives a triangular number (253091251 = T22498).

The spelling of 13666927554 in words is "thirteen billion, six hundred sixty-six million, nine hundred twenty-seven thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 151 189 298 302 378 447 453 894 906 1043 1057 1341 1359 1607 2086 2114 2682 2718 3129 3171 3214 4023 4077 4821 6258 6342 8046 8154 9387 9513 9642 11249 14463 18774 19026 22498 22499 28161 28539 28926 33747 43389 44998 56322 57078 67494 67497 86778 101241 134994 157493 202482 202491 239443 242657 303723 314986 404982 472479 478886 485314 607446 607473 718329 727971 944958 1214946 1417437 1436658 1455942 1676101 1698599 2154987 2183913 2834874 3352202 3397198 4252311 4309974 4367826 5028303 5095797 6464961 6551739 8504622 10056606 10191594 12929922 13103478 15084909 15287391 30169818 30574782 36155893 45254727 45862173 72311786 90509454 91724346 108467679 216935358 253091251 325403037 506182502 650806074 759273753 976209111 1518547506 1952418222 2277821259 4555642518 6833463777 13666927554