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11269454856 = 233111072231789
BaseRepresentation
bin10100111111011011…
…00011110000001000
31002002101110121210220
422133231203300020
5141034440023411
65102131310040
7546160533342
oct123755436010
932071417726
1011269454856
11486334a260
12222614b320
1310a79bc2aa
1478c9b2292
1545e567b06
hex29fb63c08

11269454856 has 128 divisors (see below), whose sum is σ = 31178649600. Its totient is φ = 3366017280.

The previous prime is 11269454843. The next prime is 11269454879. The reversal of 11269454856 is 65845496211.

11269454856 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-2 number, since 2×112694548562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11269454799 and 11269454808.

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, 6298410 + ... + 6300198.

It is an arithmetic number, because the mean of its divisors is an integer number (243583200).

Almost surely, 211269454856 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 11269454856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589324800).

11269454856 is an abundant number, since it is smaller than the sum of its proper divisors (19909194744).

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

11269454856 is a wasteful number, since it uses less digits than its factorization.

11269454856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2135 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 11269454856 in words is "eleven billion, two hundred sixty-nine million, four hundred fifty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 223 264 321 428 446 642 669 856 892 1177 1284 1338 1784 1789 2354 2453 2568 2676 3531 3578 4708 4906 5352 5367 7062 7156 7359 9416 9812 10734 14124 14312 14718 19624 19679 21468 23861 28248 29436 39358 42936 47722 58872 59037 71583 78716 95444 118074 143166 157432 190888 191423 236148 262471 286332 382846 398947 472296 524942 572664 574269 765692 787413 797894 1049884 1148538 1196841 1531384 1574826 1595788 2099768 2105653 2297076 2393682 3149652 3191576 4211306 4388417 4594152 4787364 6299304 6316959 8422612 8776834 9574728 12633918 13165251 16845224 17553668 25267836 26330502 35107336 42687329 50535672 52661004 85374658 105322008 128061987 170749316 256123974 341498632 469560619 512247948 939121238 1024495896 1408681857 1878242476 2817363714 3756484952 5634727428 11269454856