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10036484820 = 2234517364433
BaseRepresentation
bin10010101100011100…
…01001101011010100
3221220110102020220000
421112032021223110
5131023320003240
64335524411300
7503466466455
oct112616115324
927813366800
1010036484820
11429037465a
121b41246b30
13c3c42301b
146b2d3d12c
153db1b8430
hex256389ad4

10036484820 has 120 divisors (see below), whose sum is σ = 33336964584. Its totient is φ = 2518953984.

The previous prime is 10036484797. The next prime is 10036484849. The reversal of 10036484820 is 2848463001.

10036484820 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 648 + 4 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2624307984 + 7412176836 = 51228^2 + 86094^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154677 + ... + 209756.

Almost surely, 210036484820 is an apocalyptic number.

10036484820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10036484820 is an abundant number, since it is smaller than the sum of its proper divisors (23300479764).

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

10036484820 is a wasteful number, since it uses less digits than its factorization.

10036484820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364471 (or 364460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10036484820 in words is "ten billion, thirty-six million, four hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 9180 13770 27540 364433 728866 1093299 1457732 1822165 2186598 3279897 3644330 4373196 5466495 6195361 6559794 7288660 9839691 10932990 12390722 13119588 16399485 18586083 19679382 21865980 24781444 29519073 30976805 32798970 37172166 39358764 49198455 55758249 59038146 61953610 65597940 74344332 92930415 98396910 111516498 118076292 123907220 147595365 167274747 185860830 196793820 223032996 278791245 295190730 334549494 371721660 501824241 557582490 590381460 669098988 836373735 1003648482 1115164980 1672747470 2007296964 2509121205 3345494940 5018242410 10036484820