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12988264410 = 2335114373153
BaseRepresentation
bin11000001100010100…
…10010111111011010
31020112011201012021000
430012022102333122
5203044443430120
65544451325430
7636601266042
oct140612227732
936464635230
1012988264410
11556559a320
1226258b0876
1312bcb23174
148b2d92722
155103d4990
hex306292fda

12988264410 has 64 divisors (see below), whose sum is σ = 37784050560. Its totient is φ = 3148669440.

The previous prime is 12988264403. The next prime is 12988264411. The reversal of 12988264410 is 1446288921.

12988264410 is a `hidden beast` number, since 12 + 98 + 82 + 64 + 410 = 666.

12988264410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12988264411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2183607 + ... + 2189546.

It is an arithmetic number, because the mean of its divisors is an integer number (590375790).

Almost surely, 212988264410 is an apocalyptic number.

12988264410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12988264410 is an abundant number, since it is smaller than the sum of its proper divisors (24795786150).

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

12988264410 is a wasteful number, since it uses less digits than its factorization.

12988264410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373180 (or 4373174 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12988264410 in words is "twelve billion, nine hundred eighty-eight million, two hundred sixty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4373153 8746306 13119459 21865765 26238918 39358377 43731530 48104683 65597295 78716754 96209366 118075131 131194590 144314049 196791885 236150262 240523415 288628098 393583770 432942147 481046830 590375655 721570245 865884294 1180751310 1298826441 1443140490 2164710735 2597652882 4329421470 6494132205 12988264410