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11159664280 = 23517103315887
BaseRepresentation
bin10100110010010101…
…01111011010011000
31001210201212200110021
422121022233122120
5140323333224110
65043210200224
7543355403242
oct123112573230
931721780407
1011159664280
114807380a46
1221b5423074
13108b02b35b
1477c193092
15454acc2da
hex2992af698

11159664280 has 64 divisors (see below), whose sum is σ = 26613671040. Its totient is φ = 4196954112.

The previous prime is 11159664233. The next prime is 11159664281. The reversal of 11159664280 is 8246695111.

11159664280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11159664281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 694497 + ... + 710383.

It is an arithmetic number, because the mean of its divisors is an integer number (415838610).

Almost surely, 211159664280 is an apocalyptic number.

11159664280 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 11159664280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13306835520).

11159664280 is an abundant number, since it is smaller than the sum of its proper divisors (15454006760).

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

11159664280 is a wasteful number, since it uses less digits than its factorization.

11159664280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 11159664280 in words is "eleven billion, one hundred fifty-nine million, six hundred sixty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1033 2066 4132 5165 8264 10330 15887 17561 20660 31774 35122 41320 63548 70244 79435 87805 127096 140488 158870 175610 270079 317740 351220 540158 635480 702440 1080316 1350395 2160632 2700790 5401580 10803160 16411271 32822542 65645084 82056355 131290168 164112710 278991607 328225420 557983214 656450840 1115966428 1394958035 2231932856 2789916070 5579832140 11159664280