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11606421456 = 2432721644901
BaseRepresentation
bin10101100111100101…
…11110111111010000
31002221212112022002100
422303302332333100
5142232220441311
65155405520400
7560421645300
oct126362767720
932855468070
1011606421456
114a16582253
1222bab73100
13112c761006
147c1649600
1547de29a56
hex2b3cbefd0

11606421456 has 90 divisors (see below), whose sum is σ = 37785043842. Its totient is φ = 3316118400.

The previous prime is 11606421401. The next prime is 11606421467. The reversal of 11606421456 is 65412460611.

11606421456 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 642 + 1 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10177581456 + 1428840000 = 100884^2 + 37800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11606421456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 815395 + ... + 829506.

Almost surely, 211606421456 is an apocalyptic number.

11606421456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11606421456 is an abundant number, since it is smaller than the sum of its proper divisors (26178622386).

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

11606421456 is a wasteful number, since it uses less digits than its factorization.

11606421456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644929 (or 1644913 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11606421456 in words is "eleven billion, six hundred six million, four hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 1644901 3289802 4934703 6579604 9869406 11514307 13159208 14804109 19738812 23028614 26318416 29608218 34542921 39477624 46057228 59216436 69085842 78955248 80600149 92114456 103628763 118432872 138171684 161200298 184228912 207257526 236865744 241800447 276343368 322400596 414515052 483600894 552686736 644801192 725401341 829030104 967201788 1289602384 1450802682 1658060208 1934403576 2901605364 3868807152 5803210728 11606421456