Search a number
-
+
10546803540 = 22325713643883
BaseRepresentation
bin10011101001010001…
…10111001101010100
31000020000200010120100
421310220313031110
5133044440203130
64502314334100
7522234231240
oct116450671524
930200603510
1010546803540
114522439669
12206412a330
13cc107ba70
14720a1d420
1541adbdc60
hex274a37354

10546803540 has 144 divisors (see below), whose sum is σ = 39374794368. Its totient is φ = 2225256192.

The previous prime is 10546803517. The next prime is 10546803577. The reversal of 10546803540 is 4530864501.

It is a happy number.

10546803540 is a `hidden beast` number, since 1 + 0 + 54 + 68 + 0 + 3 + 540 = 666.

10546803540 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-2 number, since 2×105468035402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10546803495 and 10546803504.

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 47 ways as a sum of consecutive naturals, for example, 305562 + ... + 338321.

It is an arithmetic number, because the mean of its divisors is an integer number (273436072).

Almost surely, 210546803540 is an apocalyptic number.

10546803540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10546803540 is an abundant number, since it is smaller than the sum of its proper divisors (28827990828).

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

10546803540 is a wasteful number, since it uses less digits than its factorization.

10546803540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643918 (or 643913 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10546803540 in words is "ten billion, five hundred forty-six million, eight hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 643883 1287766 1931649 2575532 3219415 3863298 4507181 5794947 6438830 7726596 8370479 9014362 9658245 11589894 12877660 13521543 16740958 18028724 19316490 22535905 23179788 25111437 27043086 28974735 33481916 38632980 40564629 41852395 45071810 50222874 54086172 57949470 58593353 67607715 75334311 81129258 83704790 90143620 100445748 115898940 117186706 125557185 135215430 150668622 162258516 167409580 175780059 202823145 234373412 251114370 270430860 292966765 301337244 351560118 376671555 405646290 502228740 527340177 585933530 703120236 753343110 811292580 878900295 1054680354 1171867060 1506686220 1757800590 2109360708 2636700885 3515601180 5273401770 10546803540