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13043505312 = 2532229719717
BaseRepresentation
bin11000010010111010…
…00001100010100000
31020200000122201112100
430021131001202200
5203203114132222
65554143330400
7641141652165
oct141135014240
936600581470
1013043505312
11559379a662
1226402b0a00
1312cb3c4ba6
148ba45206c
155151974ac
hex3097418a0

13043505312 has 72 divisors (see below), whose sum is σ = 37110498516. Its totient is φ = 4345721856.

The previous prime is 13043505311. The next prime is 13043505341. The reversal of 13043505312 is 21350534031.

13043505312 is a `hidden beast` number, since 1 + 304 + 350 + 5 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12037600656 + 1005904656 = 109716^2 + 31716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13043505311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651678 + ... + 671394.

Almost surely, 213043505312 is an apocalyptic number.

13043505312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13043505312 is an abundant number, since it is smaller than the sum of its proper divisors (24066993204).

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

13043505312 is a wasteful number, since it uses less digits than its factorization.

13043505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22030 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 13043505312 in words is "thirteen billion, forty-three million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2297 4594 6891 9188 13782 18376 19717 20673 27564 36752 39434 41346 55128 59151 73504 78868 82692 110256 118302 157736 165384 177453 220512 236604 315472 330768 354906 473208 630944 661536 709812 946416 1419624 1892832 2839248 5678496 45289949 90579898 135869847 181159796 271739694 362319592 407609541 543479388 724639184 815219082 1086958776 1449278368 1630438164 2173917552 3260876328 4347835104 6521752656 13043505312