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13405541455332 = 22321328644319349
BaseRepresentation
bin1100001100010011100010…
…0010010101010111100100
31202110120001020021222220200
43003010320202111113210
53224114022103032312
644302230513230500
72552342546163015
oct303047042252744
952416036258820
1013405541455332
1142a9292740544
121606100862430
137631a23934c0
14344b9015300c
15183a977dd0dc
hexc31388955e4

13405541455332 has 36 divisors (see below), whose sum is σ = 36492862851900. Its totient is φ = 4124781986112.

The previous prime is 13405541455331. The next prime is 13405541455357. The reversal of 13405541455332 is 23355414550431.

13405541455332 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 54 + 14 + 553 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5306314959936 + 8099226495396 = 2303544^2 + 2845914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (13405541455331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14322159207 + ... + 14322160142.

It is an arithmetic number, because the mean of its divisors is an integer number (1013690634775).

Almost surely, 213405541455332 is an apocalyptic number.

13405541455332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13405541455332 is an abundant number, since it is smaller than the sum of its proper divisors (23087321396568).

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

13405541455332 is a wasteful number, since it uses less digits than its factorization.

13405541455332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28644319372 (or 28644319367 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 13405541455332 in words is "thirteen trillion, four hundred five billion, five hundred forty-one million, four hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 28644319349 57288638698 85932958047 114577277396 171865916094 257798874141 343731832188 372376151537 515597748282 744752303074 1031195496564 1117128454611 1489504606148 2234256909222 3351385363833 4468513818444 6702770727666 13405541455332