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11022974976 = 21431321327
BaseRepresentation
bin10100100010000010…
…10100000000000000
31001110012200010222110
422101001110000000
5140033340144401
65021444335320
7540105512166
oct122101240000
931405603873
1011022974976
114747200282
1221776a4540
13106890cc00
14767d71236
15447acb9d6
hex291054000

11022974976 has 180 divisors, whose sum is σ = 31852669632. Its totient is φ = 3389128704.

The previous prime is 11022974969. The next prime is 11022974987. The reversal of 11022974976 is 67947922011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8306025 + ... + 8307351.

Almost surely, 211022974976 is an apocalyptic number.

11022974976 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 11022974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926334816).

11022974976 is an abundant number, since it is smaller than the sum of its proper divisors (20829694656).

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

11022974976 is an equidigital number, since it uses as much as digits as its factorization.

11022974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 11022974976 in words is "eleven billion, twenty-two million, nine hundred seventy-four thousand, nine hundred seventy-six".