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11226691664 = 24311071991063
BaseRepresentation
bin10100111010010100…
…11011100001010000
31001222102000000201222
422131022123201100
5140443013113124
65054002544212
7545131206326
oct123512334120
931872000658
1011226691664
1148411a1681
122213968068
13109bb98b26
1478703dd16
1545a91c25e
hex29d29b850

11226691664 has 80 divisors (see below), whose sum is σ = 22798540800. Its totient is φ = 5349421440.

The previous prime is 11226691661. The next prime is 11226691673. The reversal of 11226691664 is 46619662211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11226691661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10560797 + ... + 10561859.

It is an arithmetic number, because the mean of its divisors is an integer number (284981760).

Almost surely, 211226691664 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 11226691664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399270400).

11226691664 is an abundant number, since it is smaller than the sum of its proper divisors (11571849136).

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

11226691664 is a wasteful number, since it uses less digits than its factorization.

11226691664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The spelling of 11226691664 in words is "eleven billion, two hundred twenty-six million, six hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 107 124 199 214 248 398 428 496 796 856 1063 1592 1712 2126 3184 3317 4252 6169 6634 8504 12338 13268 17008 21293 24676 26536 32953 42586 49352 53072 65906 85172 98704 113741 131812 170344 211537 227482 263624 340688 423074 454964 527248 660083 846148 909928 1320166 1692296 1819856 2640332 3384592 3525971 5280664 6557647 7051942 10561328 13115294 14103884 22634459 26230588 28207768 45268918 52461176 56415536 90537836 104922352 181075672 362151344 701668229 1403336458 2806672916 5613345832 11226691664