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12696405636096 = 2103274131923101
BaseRepresentation
bin1011100011000001110010…
…1111110111010000000000
31122221202122100010220012100
42320300130233313100000
53131004214320323341
643000352003430400
72450166524160000
oct270603457672000
948852570126170
1012696405636096
114055573a94716
121510794685400
1371135c2a0b80
1431c71b7a0000
151703e167b3b6
hexb8c1cbf7400

12696405636096 has 2640 divisors, whose sum is σ = 51090922995840. Its totient is φ = 3004298035200.

The previous prime is 12696405636091. The next prime is 12696405636097. The reversal of 12696405636096 is 69063650469621.

It is a happy number.

12696405636096 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 6 + 4 + 0 + 563 + 60 + 9 + 6 = 666.

It is a super-2 number, since 2×126964056360962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696405636091) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 125706986446 + ... + 125706986546.

Almost surely, 212696405636096 is an apocalyptic number.

12696405636096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12696405636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25545461497920).

12696405636096 is an abundant number, since it is smaller than the sum of its proper divisors (38394517359744).

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

12696405636096 is a wasteful number, since it uses less digits than its factorization.

12696405636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 12696405636096 in words is "twelve trillion, six hundred ninety-six billion, four hundred five million, six hundred thirty-six thousand, ninety-six".