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13248225550 = 25272371011447
BaseRepresentation
bin11000101011010011…
…11110000100001110
31021012021212120220101
430111221332010032
5204113021204200
610030335241314
7646206026200
oct142551760416
937167776811
1013248225550
115689306a3a
12269897923a
131331942821
148d9702770
1552813526a
hex315a7e10e

13248225550 has 144 divisors (see below), whose sum is σ = 29751586848. Its totient is φ = 4372704000.

The previous prime is 13248225541. The next prime is 13248225577. The reversal of 13248225550 is 5552284231.

13248225550 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 (37).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9154927 + ... + 9156373.

It is an arithmetic number, because the mean of its divisors is an integer number (206608242).

Almost surely, 213248225550 is an apocalyptic number.

13248225550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13248225550 is an abundant number, since it is smaller than the sum of its proper divisors (16503361298).

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

13248225550 is a wasteful number, since it uses less digits than its factorization.

13248225550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 13248225550 in words is "thirteen billion, two hundred forty-eight million, two hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 37 49 50 70 74 98 101 175 185 202 245 259 350 370 490 505 518 707 925 1010 1225 1295 1414 1447 1813 1850 2450 2525 2590 2894 3535 3626 3737 4949 5050 6475 7070 7235 7474 9065 9898 10129 12950 14470 17675 18130 18685 20258 24745 26159 35350 36175 37370 45325 49490 50645 52318 53539 70903 72350 90650 93425 101290 107078 123725 130795 141806 146147 183113 186850 247450 253225 261590 267695 292294 354515 366226 374773 506450 535390 653975 709030 730735 749546 915565 1023029 1307950 1338475 1461470 1772575 1831130 1873865 2046058 2623411 2676950 3545150 3653675 3747730 4577825 5115145 5246822 5407439 7161203 7307350 9155650 9369325 10230290 10814878 13117055 14322406 18738650 25575725 26234110 27037195 35806015 37852073 51151450 54074390 65585275 71612030 75704146 131170550 135185975 179030075 189260365 264964511 270371950 358060150 378520730 529929022 946301825 1324822555 1892603650 2649645110 6624112775 13248225550