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11997477648 = 243513219312
BaseRepresentation
bin10110010110001101…
…01111101100010000
31010222010101000100000
423023012233230100
5144032323241043
65302255330000
7603210606642
oct131306575420
933863330300
1011997477648
1150a7299592
1223a9b20900
131192790700
1481b562892
154a34232d3
hex2cb1afb10

11997477648 has 540 divisors, whose sum is σ = 41010343920. Its totient is φ = 3384426240.

The previous prime is 11997477631. The next prime is 11997477691. The reversal of 11997477648 is 84677479911.

11997477648 is a `hidden beast` number, since 1 + 19 + 97 + 477 + 64 + 8 = 666.

11997477648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119974776482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 387015393 + ... + 387015423.

Almost surely, 211997477648 is an apocalyptic number.

11997477648 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 11997477648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505171960).

11997477648 is an abundant number, since it is smaller than the sum of its proper divisors (29012866272).

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

11997477648 is a wasteful number, since it uses less digits than its factorization.

11997477648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 68 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 11997477648 in words is "eleven billion, nine hundred ninety-seven million, four hundred seventy-seven thousand, six hundred forty-eight".