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13232741280 = 2535112506201
BaseRepresentation
bin11000101001011101…
…11001101110100000
31021011012201220110220
430110232321232200
5204100040210110
610025023323040
7645630305433
oct142456715640
937135656426
1013232741280
1156805a0420
122693750480
13132b680935
148d763181a
15526ac7370
hex314bb9ba0

13232741280 has 96 divisors (see below), whose sum is σ = 45472529088. Its totient is φ = 3207936000.

The previous prime is 13232741279. The next prime is 13232741297. The reversal of 13232741280 is 8214723231.

13232741280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 1247821 + ... + 1258380.

It is an arithmetic number, because the mean of its divisors is an integer number (473672178).

Almost surely, 213232741280 is an apocalyptic number.

13232741280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232741280 is an abundant number, since it is smaller than the sum of its proper divisors (32239787808).

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

13232741280 is a wasteful number, since it uses less digits than its factorization.

13232741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506230 (or 2506222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13232741280 in words is "thirteen billion, two hundred thirty-two million, seven hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2506201 5012402 7518603 10024804 12531005 15037206 20049608 25062010 27568211 30074412 37593015 40099216 50124020 55136422 60148824 75186030 80198432 82704633 100248040 110272844 120297648 137841055 150372060 165409266 200496080 220545688 240595296 275682110 300744120 330818532 400992160 413523165 441091376 551364220 601488240 661637064 827046330 882182752 1102728440 1202976480 1323274128 1654092660 2205456880 2646548256 3308185320 4410913760 6616370640 13232741280