Search a number
-
+
10699806000 = 2435313137177
BaseRepresentation
bin10011111011100001…
…00001010100110000
31000121200120110111010
421331300201110300
5133403122243000
64525421550520
7526102564452
oct117560412460
930550513433
1010699806000
1145a0841684
1220a7415440
13101698c470
1473708a2d2
15429542d50
hex27dc21530

10699806000 has 160 divisors (see below), whose sum is σ = 37149997248. Its totient is φ = 2633779200.

The previous prime is 10699805981. The next prime is 10699806043. The reversal of 10699806000 is 60899601.

It is a super-2 number, since 2×106998060002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10699806000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9412 + ... + 146588.

Almost surely, 210699806000 is an apocalyptic number.

10699806000 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 10699806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574998624).

10699806000 is an abundant number, since it is smaller than the sum of its proper divisors (26450191248).

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

10699806000 is a wasteful number, since it uses less digits than its factorization.

10699806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137216 (or 137200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 10699806000 in words is "ten billion, six hundred ninety-nine million, eight hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 137177 274354 411531 548708 685885 823062 1097416 1371770 1646124 1783301 2057655 2194832 2743540 3292248 3429425 3566602 4115310 5349903 5487080 6584496 6858850 7133204 8230620 8916505 10288275 10699806 10974160 13717700 14266408 16461240 17147125 17833010 20576550 21399612 26749515 27435400 28532816 32922480 34294250 35666020 41153100 42799224 44582525 51441375 53499030 54870800 68588500 71332040 82306200 85598448 89165050 102882750 106998060 133747575 137177000 142664080 164612400 178330100 205765500 213996120 222912625 267495150 274354000 356660200 411531000 427992240 445825250 534990300 668737875 713320400 823062000 891650500 1069980600 1337475750 1783301000 2139961200 2674951500 3566602000 5349903000 10699806000