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13346829221120 = 28527883373963
BaseRepresentation
bin1100001000111000110100…
…0000111011110100000000
31202020221111110212110201122
43002032031000323310000
53222133301240033440
644215240530251412
72545163604342353
oct302161500736400
952227443773648
1013346829221120
1142863a4164a2a
1215b6856126b68
1375a7a6679805
14341dc071829a
151822ad1607b5
hexc238d03bd00

13346829221120 has 72 divisors (see below), whose sum is σ = 31971058931616. Its totient is φ = 5338525943808.

The previous prime is 13346829221051. The next prime is 13346829221123. The reversal of 13346829221120 is 2112292864331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13346829221123) 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 7 ways as a sum of consecutive naturals, for example, 35503259 + ... + 35877221.

Almost surely, 213346829221120 is an apocalyptic number.

13346829221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13346829221120 is an abundant number, since it is smaller than the sum of its proper divisors (18624229710496).

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

13346829221120 is an equidigital number, since it uses as much as digits as its factorization.

13346829221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401867 (or 401853 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 13346829221120 in words is "thirteen trillion, three hundred forty-six billion, eight hundred twenty-nine million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 27883 55766 111532 139415 223064 278830 373963 446128 557660 747926 892256 1115320 1495852 1784512 1869815 2230640 2991704 3569024 3739630 4461280 5983408 7138048 7479260 8922560 11966816 14958520 17845120 23933632 29917040 35690240 47867264 59834080 95734528 119668160 239336320 478672640 10427210329 20854420658 41708841316 52136051645 83417682632 104272103290 166835365264 208544206580 333670730528 417088413160 667341461056 834176826320 1334682922112 1668353652640 2669365844224 3336707305280 6673414610560 13346829221120