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10969993620 = 2234541165161
BaseRepresentation
bin10100011011101110…
…01101000110010100
31001022111222102020000
422031313031012110
5134431304243440
65012313011300
7535563256455
oct121567150624
931274872200
1010969993620
11471a303633
1221619b3b30
13105a94c7b1
14760cdd12c
15443113730
hex28ddcd194

10969993620 has 120 divisors (see below), whose sum is σ = 35252837928. Its totient is φ = 2853964800.

The previous prime is 10969993613. The next prime is 10969993649. The reversal of 10969993620 is 2639996901.

10969993620 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 9 + 9 + 9 + 3 + 620 = 666.

10969993620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 483824016 + 10486169604 = 21996^2 + 102402^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 16161 + ... + 149000.

Almost surely, 210969993620 is an apocalyptic number.

10969993620 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 10969993620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626418964).

10969993620 is an abundant number, since it is smaller than the sum of its proper divisors (24282844308).

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

10969993620 is a wasteful number, since it uses less digits than its factorization.

10969993620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165223 (or 165212 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 10969993620 in words is "ten billion, nine hundred sixty-nine million, nine hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 66420 165161 330322 495483 660644 825805 990966 1486449 1651610 1981932 2477415 2972898 3303220 4459347 4954830 5945796 6771601 7432245 8918694 9909660 13378041 13543202 14864490 17837388 20314803 22296735 26756082 27086404 29728980 33858005 40629606 44593470 53512164 60944409 66890205 67716010 81259212 89186940 101574015 121888818 133780410 135432020 182833227 203148030 243777636 267560820 304722045 365666454 406296060 548499681 609444090 731332908 914166135 1096999362 1218888180 1828332270 2193998724 2742498405 3656664540 5484996810 10969993620