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11164631250 = 23552325889
BaseRepresentation
bin10100110010111011…
…01100000011010010
31001211002020000212010
422121131230003102
5140331121200000
65043504443350
7543445541223
oct123135540322
931732200763
1011164631250
11480a163783
1221b7019556
13108c07a0a6
1477cac724a
1545525dd50
hex29976c0d2

11164631250 has 96 divisors (see below), whose sum is σ = 29124385920. Its totient is φ = 2847680000.

The previous prime is 11164631243. The next prime is 11164631279. The reversal of 11164631250 is 5213646111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418306 + ... + 444194.

It is an arithmetic number, because the mean of its divisors is an integer number (303379020).

Almost surely, 211164631250 is an apocalyptic number.

11164631250 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 11164631250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562192960).

11164631250 is an abundant number, since it is smaller than the sum of its proper divisors (17959754670).

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

11164631250 is an equidigital number, since it uses as much as digits as its factorization.

11164631250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25942 (or 25922 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11164631250 in words is "eleven billion, one hundred sixty-four million, six hundred thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 625 690 750 1150 1250 1725 1875 2875 3125 3450 3750 5750 6250 8625 9375 14375 17250 18750 25889 28750 43125 51778 71875 77667 86250 129445 143750 155334 215625 258890 388335 431250 595447 647225 776670 1190894 1294450 1786341 1941675 2977235 3236125 3572682 3883350 5954470 6472250 8931705 9708375 14886175 16180625 17863410 19416750 29772350 32361250 44658525 48541875 74430875 80903125 89317050 97083750 148861750 161806250 223292625 242709375 372154375 446585250 485418750 744308750 1116463125 1860771875 2232926250 3721543750 5582315625 11164631250