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11226999168 = 2734741141
BaseRepresentation
bin10100111010010111…
…00110100110000000
31001222102120122120000
422131023212212000
5140443102433133
65054013320000
7545133630000
oct123513464600
931872518500
1011226999168
114841391710
122213a96000
13109bc75a98
147870c0000
1545a97d413
hex29d2e6980

11226999168 has 800 divisors, whose sum is σ = 43558126920. Its totient is φ = 2844979200.

The previous prime is 11226999143. The next prime is 11226999221. The reversal of 11226999168 is 86199962211.

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.

Its product of digits (839808) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 273829228 + ... + 273829268.

Almost surely, 211226999168 is an apocalyptic number.

11226999168 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 11226999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21779063460).

11226999168 is an abundant number, since it is smaller than the sum of its proper divisors (32331127752).

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

11226999168 is an frugal number, since it uses more digits than its factorization.

11226999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 11226999168 in words is "eleven billion, two hundred twenty-six million, nine hundred ninety-nine thousand, one hundred sixty-eight".