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12692995632 = 243231237267
BaseRepresentation
bin10111101001000111…
…11011111000110000
31012202121002222122100
423310203323320300
5201443401330012
65455302540400
7626354453112
oct136443737060
935677088570
1012692995632
115423957539
122562a37700
1312738c0a05
14885a913b2
154e450c8dc
hex2f48fbe30

12692995632 has 270 divisors, whose sum is σ = 38287526004. Its totient is φ = 3924391680.

The previous prime is 12692995631. The next prime is 12692995673. The reversal of 12692995632 is 23659929621.

It is a happy number.

12692995632 is a `hidden beast` number, since 12 + 69 + 2 + 9 + 9 + 563 + 2 = 666.

It is a super-2 number, since 2×126929956322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12692995631) 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 53 ways as a sum of consecutive naturals, for example, 189447663 + ... + 189447729.

Almost surely, 212692995632 is an apocalyptic number.

12692995632 is a gapful number since it is divisible by the number (12) 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 12692995632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19143763002).

12692995632 is an abundant number, since it is smaller than the sum of its proper divisors (25594530372).

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

12692995632 is a wasteful number, since it uses less digits than its factorization.

12692995632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 140 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 12692995632 in words is "twelve billion, six hundred ninety-two million, nine hundred ninety-five thousand, six hundred thirty-two".