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13296245040 = 2433513473513
BaseRepresentation
bin11000110001000010…
…01001100100110000
31021022122020020021000
430120201021210300
5204212314320130
610035212402000
7650331134541
oct143041114460
937278206230
1013296245040
115703424771
1226b0a76300
13133b886620
14901c424c8
1552c46d260
hex318849930

13296245040 has 160 divisors (see below), whose sum is σ = 49321218240. Its totient is φ = 3272914944.

The previous prime is 13296245033. The next prime is 13296245051. The reversal of 13296245040 is 4054269231.

It is a happy number.

13296245040 is a `hidden beast` number, since 1 + 3 + 29 + 624 + 5 + 0 + 4 + 0 = 666.

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 = 13296244986 and 13296245004.

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, 208677 + ... + 264836.

It is an arithmetic number, because the mean of its divisors is an integer number (308257614).

Almost surely, 213296245040 is an apocalyptic number.

13296245040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13296245040 is an abundant number, since it is smaller than the sum of its proper divisors (36024973200).

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

13296245040 is a wasteful number, since it uses less digits than its factorization.

13296245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473548 (or 473536 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13296245040 in words is "thirteen billion, two hundred ninety-six million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 473513 947026 1420539 1894052 2367565 2841078 3788104 4261617 4735130 5682156 6155669 7102695 7576208 8523234 9470260 11364312 12311338 12784851 14205390 17046468 18467007 18940520 21308085 22728624 24622676 25569702 28410780 30778345 34092936 36934014 37881040 42616170 49245352 51139404 55401021 56821560 61556690 63924255 68185872 73868028 85232340 92335035 98490704 102278808 110802042 113643120 123113380 127848510 147736056 166203063 170464680 184670070 204557616 221604084 246226760 255697020 277005105 295472112 332406126 340929360 369340140 443208168 492453520 511394040 554010210 664812252 738680280 831015315 886416336 1022788080 1108020420 1329624504 1477360560 1662030630 2216040840 2659249008 3324061260 4432081680 6648122520 13296245040