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11224797696 = 29337273227
BaseRepresentation
bin10100111010000110…
…01101001000000000
31001222021102210201000
422131003031020000
5140442022011241
65053454212000
7545106130500
oct123503151000
931867383630
1011224797696
114840118712
1222131b4000
13109b684a38
14786aa9a00
1545a695eb6
hex29d0cd200

11224797696 has 480 divisors, whose sum is σ = 39352927680. Its totient is φ = 3149217792.

The previous prime is 11224797691. The next prime is 11224797763. The reversal of 11224797696 is 69679742211.

11224797696 is a `hidden beast` number, since 1 + 12 + 2 + 479 + 76 + 96 = 666.

It is a super-2 number, since 2×112247976962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224797691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49448335 + ... + 49448561.

It is an arithmetic number, because the mean of its divisors is an integer number (81985266).

Almost surely, 211224797696 is an apocalyptic number.

11224797696 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 11224797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19676463840).

11224797696 is an abundant number, since it is smaller than the sum of its proper divisors (28128129984).

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

11224797696 is an equidigital number, since it uses as much as digits as its factorization.

11224797696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 11224797696 in words is "eleven billion, two hundred twenty-four million, seven hundred ninety-seven thousand, six hundred ninety-six".