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11342826870 = 23517731991531
BaseRepresentation
bin10101001000001010…
…11100110101110110
31002021111112022021220
422210011130311312
5141212230424440
65113312051210
7551041303044
oct124405346566
932244468256
1011342826870
1148a0803791
122246833b06
1310b9c6b89b
14798631394
15465c0c8d0
hex2a415cd76

11342826870 has 128 divisors (see below), whose sum is σ = 29384985600. Its totient is φ = 2791895040.

The previous prime is 11342826863. The next prime is 11342826883. The reversal of 11342826870 is 7862824311.

11342826870 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 3×113428268703 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7408005 + ... + 7409535.

It is an arithmetic number, because the mean of its divisors is an integer number (229570200).

Almost surely, 211342826870 is an apocalyptic number.

11342826870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342826870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14692492800).

11342826870 is an abundant number, since it is smaller than the sum of its proper divisors (18042158730).

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

11342826870 is a wasteful number, since it uses less digits than its factorization.

11342826870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11342826870 in words is "eleven billion, three hundred forty-two million, eight hundred twenty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 73 85 102 146 170 199 219 255 365 398 438 510 597 730 995 1095 1194 1241 1531 1990 2190 2482 2985 3062 3383 3723 4593 5970 6205 6766 7446 7655 9186 10149 12410 14527 15310 16915 18615 20298 22965 26027 29054 33830 37230 43581 45930 50745 52054 72635 78081 87162 101490 111763 130135 145270 156162 217905 223526 246959 260270 304669 335289 390405 435810 493918 558815 609338 670578 740877 780810 914007 1117630 1234795 1481754 1523345 1676445 1828014 1899971 2469590 3046690 3352890 3704385 3799942 4570035 5179373 5699913 7408770 9140070 9499855 10358746 11399826 15538119 18999710 22240837 25896865 28499565 31076238 44481674 51793730 56999130 66722511 77690595 111204185 133445022 155381190 222408370 333612555 378094229 667225110 756188458 1134282687 1890471145 2268565374 3780942290 5671413435 11342826870