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13385005061827 = 7174715715243127
BaseRepresentation
bin1100001011000111000001…
…1110001101011011000011
31202101121001000110010002211
43002301300132031123003
53223244442243434302
644244553023122551
72551014621544450
oct302616036153303
952347030403084
1013385005061827
1142a0604458103
12160212b143457
1376127b830679
14343ba2920827
1518329491aad7
hexc2c7078d6c3

13385005061827 has 32 divisors (see below), whose sum is σ = 16646959116288. Its totient is φ = 10500928528896.

The previous prime is 13385005061783. The next prime is 13385005061833. The reversal of 13385005061827 is 72816050058331.

It is a cyclic number.

It is not a de Polignac number, because 13385005061827 - 211 = 13385005059779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13385005061927) 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, 6743463 + ... + 8499664.

It is an arithmetic number, because the mean of its divisors is an integer number (520217472384).

Almost surely, 213385005061827 is an apocalyptic number.

13385005061827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13385005061827 is a deficient number, since it is larger than the sum of its proper divisors (3261954054461).

13385005061827 is a wasteful number, since it uses less digits than its factorization.

13385005061827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243355.

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 13385005061827 in words is "thirteen trillion, three hundred eighty-five billion, five million, sixty-one thousand, eight hundred twenty-seven".

Divisors: 1 7 17 47 119 157 329 799 1099 2669 5593 7379 18683 51653 125443 878101 15243127 106701889 259133159 716426969 1813932113 2393170939 5014988783 12179258473 16752196573 40683905963 85254809311 112479034133 284787341741 787353238931 1912143580261 13385005061827