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12706483608 = 2335721331331
BaseRepresentation
bin10111101010101110…
…11000110110011000
31012210112111020200000
423311113120312120
5202010324433413
65500504013000
7626610220500
oct136527306630
935715436600
1012706483608
11543052a225
122567461160
131276634070
148877a2a00
154e57c4073
hex2f55d8d98

12706483608 has 576 divisors, whose sum is σ = 46289617920. Its totient is φ = 3233260800.

The previous prime is 12706483597. The next prime is 12706483619. The reversal of 12706483608 is 80638460721.

It is an interprime number because it is at equal distance from previous prime (12706483597) and next prime (12706483619).

It is a super-2 number, since 2×127064836082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 38388003 + ... + 38388333.

It is an arithmetic number, because the mean of its divisors is an integer number (80363920).

Almost surely, 212706483608 is an apocalyptic number.

12706483608 is a gapful number since it is divisible by the number (18) 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 12706483608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144808960).

12706483608 is an abundant number, since it is smaller than the sum of its proper divisors (33583134312).

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

12706483608 is a wasteful number, since it uses less digits than its factorization.

12706483608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12706483608 in words is "twelve billion, seven hundred six million, four hundred eighty-three thousand, six hundred eight".