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11220242544 = 2432749922307
BaseRepresentation
bin10100111001100011…
…10101000001110000
31001221221212101012200
422130301311001300
5140434340230134
65053212423200
7545022326250
oct123461650160
931857771180
1011220242544
114838597325
122211777b00
13109a74b594
14786241960
1545a096499
hex29cc75070

11220242544 has 120 divisors (see below), whose sum is σ = 35960496000. Its totient is φ = 3199215744.

The previous prime is 11220242519. The next prime is 11220242557. The reversal of 11220242544 is 44524202211.

It is a happy number.

11220242544 is a `hidden beast` number, since 11 + 220 + 2 + 425 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491839 + ... + 514145.

It is an arithmetic number, because the mean of its divisors is an integer number (299670800).

Almost surely, 211220242544 is an apocalyptic number.

11220242544 is a gapful number since it is divisible by the number (14) 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 11220242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980248000).

11220242544 is an abundant number, since it is smaller than the sum of its proper divisors (24740253456).

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

11220242544 is a wasteful number, since it uses less digits than its factorization.

11220242544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22827 (or 22818 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 11220242544 its reverse (44524202211), we get a palindrome (55744444755).

The spelling of 11220242544 in words is "eleven billion, two hundred twenty million, two hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 499 504 998 1008 1497 1996 2994 3493 3992 4491 5988 6986 7984 8982 10479 11976 13972 17964 20958 22307 23952 27944 31437 35928 41916 44614 55888 62874 66921 71856 83832 89228 125748 133842 156149 167664 178456 200763 251496 267684 312298 356912 401526 468447 502992 535368 624596 803052 936894 1070736 1249192 1405341 1606104 1873788 2498384 2810682 3212208 3747576 5621364 7495152 11131193 11242728 22262386 22485456 33393579 44524772 66787158 77918351 89049544 100180737 133574316 155836702 178099088 200361474 233755053 267148632 311673404 400722948 467510106 534297264 623346808 701265159 801445896 935020212 1246693616 1402530318 1602891792 1870040424 2805060636 3740080848 5610121272 11220242544