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11027631996 = 223219374773127
BaseRepresentation
bin10100100010100110…
…00100111101111100
31001110112102202012200
422101103010331330
5140041033210441
65022132231500
7540163216413
oct122123047574
931415382180
1011027631996
1147498a1157
12217916b590
131069880844
1476882447a
154481eb7b6
hex2914c4f7c

11027631996 has 288 divisors, whose sum is σ = 31444008960. Its totient is φ = 3245018112.

The previous prime is 11027631973. The next prime is 11027632001. The reversal of 11027631996 is 69913672011.

11027631996 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 7 + 631 + 9 + 9 + 6 = 666.

11027631996 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-3 number, since 3×110276319963 (a number of 31 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86831685 + ... + 86831811.

Almost surely, 211027631996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11027631996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722004480).

11027631996 is an abundant number, since it is smaller than the sum of its proper divisors (20416376964).

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

11027631996 is a wasteful number, since it uses less digits than its factorization.

11027631996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11027631996 in words is "eleven billion, twenty-seven million, six hundred thirty-one thousand, nine hundred ninety-six".