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12694738410 = 23251091294061
BaseRepresentation
bin10111101001010101…
…00101010111101010
31012202201101112021200
423310222211113222
5201444323112120
65455404145030
7626405332104
oct136452452752
935681345250
1012694738410
115424937952
122563538176
131274081043
14885dc6574
154e4753e90
hex2f4aa55ea

12694738410 has 48 divisors (see below), whose sum is σ = 33309155880. Its totient is φ = 3354203520.

The previous prime is 12694738391. The next prime is 12694738411. The reversal of 12694738410 is 1483749621.

12694738410 is a `hidden beast` number, since 1 + 269 + 4 + 7 + 384 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12602981169 + 91757241 = 112263^2 + 9579^2 .

It is a super-2 number, since 2×126947384102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12694738411) 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 23 ways as a sum of consecutive naturals, for example, 637221 + ... + 656840.

Almost surely, 212694738410 is an apocalyptic number.

12694738410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12694738410 is an abundant number, since it is smaller than the sum of its proper divisors (20614417470).

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

12694738410 is a wasteful number, since it uses less digits than its factorization.

12694738410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294183 (or 1294180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12694738410 in words is "twelve billion, six hundred ninety-four million, seven hundred thirty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 1294061 2588122 3882183 6470305 7764366 11646549 12940610 19410915 23293098 38821830 58232745 116465490 141052649 282105298 423157947 705263245 846315894 1269473841 1410526490 2115789735 2538947682 4231579470 6347369205 12694738410