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11299253640 = 2335197336761
BaseRepresentation
bin10101000010111110…
…01110110110001000
31002011110112120001120
422201133032312020
5141120102104030
65105114115240
7550002033303
oct124137166610
932143476046
1011299253640
114879152554
12223411bb20
1310b0c237cc
1479292bb3a
15461ea2010
hex2a17ced88

11299253640 has 128 divisors (see below), whose sum is σ = 35735817600. Its totient is φ = 2850232320.

The previous prime is 11299253629. The next prime is 11299253653. The reversal of 11299253640 is 4635299211.

11299253640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112992536403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11299253592 and 11299253601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667860 + ... + 1674620.

It is an arithmetic number, because the mean of its divisors is an integer number (279186075).

Almost surely, 211299253640 is an apocalyptic number.

11299253640 is a gapful number since it is divisible by the number (10) 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 11299253640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867908800).

11299253640 is an abundant number, since it is smaller than the sum of its proper divisors (24436563960).

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

11299253640 is a wasteful number, since it uses less digits than its factorization.

11299253640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 11299253640 in words is "eleven billion, two hundred ninety-nine million, two hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 733 760 1140 1466 2199 2280 2932 3665 4398 5864 6761 7330 8796 10995 13522 13927 14660 17592 20283 21990 27044 27854 29320 33805 40566 41781 43980 54088 55708 67610 69635 81132 83562 87960 101415 111416 128459 135220 139270 162264 167124 202830 208905 256918 270440 278540 334248 385377 405660 417810 513836 557080 642295 770754 811320 835620 1027672 1284590 1541508 1671240 1926885 2569180 3083016 3853770 4955813 5138360 7707540 9911626 14867439 15415080 19823252 24779065 29734878 39646504 49558130 59469756 74337195 94160447 99116260 118939512 148674390 188320894 198232520 282481341 297348780 376641788 470802235 564962682 594697560 753283576 941604470 1129925364 1412406705 1883208940 2259850728 2824813410 3766417880 5649626820 11299253640