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13166263046331 = 3283149673317569
BaseRepresentation
bin1011111110011000001001…
…1011101001000010111011
31201121200102111202101200100
42333212002123221002323
53211204001314440311
644000255302410443
72526142162233033
oct277460233510273
951550374671610
1013166263046331
1142168652782aa
121587862a30a23
1374675b6507c5
1433737165c8c3
1517c740dbba56
hexbf9826e90bb

13166263046331 has 48 divisors (see below), whose sum is σ = 19380223044000. Its totient is φ = 8611786377216.

The previous prime is 13166263046323. The next prime is 13166263046341. The reversal of 13166263046331 is 13364036266131.

It is a happy number.

13166263046331 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 2 + 6 + 3 + 0 + 4 + 633 + 1 = 666.

It is not a de Polignac number, because 13166263046331 - 23 = 13166263046323 is a prime.

It is a super-2 number, since 2×131662630463312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13166263046341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749394315 + ... + 749411883.

It is an arithmetic number, because the mean of its divisors is an integer number (403754646750).

Almost surely, 213166263046331 is an apocalyptic number.

13166263046331 is a deficient number, since it is larger than the sum of its proper divisors (6213959997669).

13166263046331 is a wasteful number, since it uses less digits than its factorization.

13166263046331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24540 (or 24537 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 13166263046331 in words is "thirteen trillion, one hundred sixty-six billion, two hundred sixty-three million, forty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 83 149 249 447 747 1341 6733 12367 17569 20199 37101 52707 60597 111303 158121 558839 1003217 1458227 1676517 2617781 3009651 4374681 5029551 7853343 9028953 13124043 23560029 83267011 118292077 217275823 249801033 354876231 651827469 749403099 1064628693 1955482407 9818242391 17625519473 29454727173 52876558419 88364181519 158629675257 1462918116259 4388754348777 13166263046331