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11227996416 = 283721359389
BaseRepresentation
bin10100111010011110…
…11010000100000000
31001222111110022112010
422131033122010000
5140443331341131
65054050532520
7545145252300
oct123517320400
931874408463
1011227996416
114841a0298a
122214297140
13109c234980
1478729d600
1545aac8b46
hex29d3da100

11227996416 has 432 divisors, whose sum is σ = 38168020800. Its totient is φ = 2903556096.

The previous prime is 11227996393. The next prime is 11227996433. The reversal of 11227996416 is 61469972211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28863550 + ... + 28863938.

It is an arithmetic number, because the mean of its divisors is an integer number (88351900).

Almost surely, 211227996416 is an apocalyptic number.

11227996416 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 11227996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084010400).

11227996416 is an abundant number, since it is smaller than the sum of its proper divisors (26940024384).

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

11227996416 is a wasteful number, since it uses less digits than its factorization.

11227996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The spelling of 11227996416 in words is "eleven billion, two hundred twenty-seven million, nine hundred ninety-six thousand, four hundred sixteen".