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13354513032 = 2337533734021
BaseRepresentation
bin11000110111111110…
…11011001010001000
31021110200212112220210
430123333123022020
5204322223404112
610045053321120
7651636326220
oct143377331210
937420775823
1013354513032
115733302333
1227084961a0
13134a978123
1490988d080
1553262cb3c
hex31bfdb288

13354513032 has 128 divisors (see below), whose sum is σ = 38989589760. Its totient is φ = 3732618240.

The previous prime is 13354513027. The next prime is 13354513057. The reversal of 13354513032 is 23031545331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3319182 + ... + 3323202.

It is an arithmetic number, because the mean of its divisors is an integer number (304606170).

Almost surely, 213354513032 is an apocalyptic number.

13354513032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13354513032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494794880).

13354513032 is an abundant number, since it is smaller than the sum of its proper divisors (25635076728).

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

13354513032 is a wasteful number, since it uses less digits than its factorization.

13354513032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 13354513032 in words is "thirteen billion, three hundred fifty-four million, five hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 373 424 636 742 746 1113 1119 1272 1484 1492 2226 2238 2611 2968 2984 4021 4452 4476 5222 7833 8042 8904 8952 10444 12063 15666 16084 19769 20888 24126 28147 31332 32168 39538 48252 56294 59307 62664 79076 84441 96504 112588 118614 138383 158152 168882 213113 225176 237228 276766 337764 415149 426226 474456 553532 639339 675528 830298 852452 1107064 1278678 1491791 1499833 1660596 1704904 2557356 2983582 2999666 3321192 4475373 4499499 5114712 5967164 5999332 8950746 8998998 10498831 11934328 11998664 17901492 17997996 20997662 31496493 35802984 35995992 41995324 62992986 79491149 83990648 125985972 158982298 238473447 251971944 317964596 476946894 556438043 635929192 953893788 1112876086 1669314129 1907787576 2225752172 3338628258 4451504344 6677256516 13354513032