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12735437696 = 27293430883
BaseRepresentation
bin10111101110001011…
…10101101110000000
31012212112222021012122
423313011311232000
5202040233001241
65503420343412
7630411301652
oct136705655600
935775867178
1012735437696
115445905923
1225750a4b68
13127c630c67
1488b57c6d2
154e80e304b
hex2f7175b80

12735437696 has 32 divisors (see below), whose sum is σ = 26246262600. Its totient is φ = 6148140544.

The previous prime is 12735437657. The next prime is 12735437761. The reversal of 12735437696 is 69673453721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1711730 + ... + 1719153.

Almost surely, 212735437696 is an apocalyptic number.

12735437696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12735437696 is an abundant number, since it is smaller than the sum of its proper divisors (13510824904).

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

12735437696 is an equidigital number, since it uses as much as digits as its factorization.

12735437696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430926 (or 3430914 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 53.

The spelling of 12735437696 in words is "twelve billion, seven hundred thirty-five million, four hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 3430883 6861766 13723532 27447064 54894128 99495607 109788256 198991214 219576512 397982428 439153024 795964856 1591929712 3183859424 6367718848 12735437696