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13225131744 = 2531123544513
BaseRepresentation
bin11000101000100011…
…10111111011100000
31021010200102022011020
430110101313323200
5204041113203434
610024152245440
7645505523256
oct142421677340
937120368136
1013225131744
115677273250
1226910a0880
131329c18156
148d66105d6
155260c2849
hex314477ee0

13225131744 has 96 divisors (see below), whose sum is σ = 39518648064. Its totient is φ = 3833364480.

The previous prime is 13225131737. The next prime is 13225131757. The reversal of 13225131744 is 44713152231.

13225131744 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 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 15 ways as a sum of consecutive naturals, for example, 247969 + ... + 296544.

It is an arithmetic number, because the mean of its divisors is an integer number (411652584).

Almost surely, 213225131744 is an apocalyptic number.

It is an amenable number.

13225131744 is an abundant number, since it is smaller than the sum of its proper divisors (26293516320).

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

13225131744 is a wasteful number, since it uses less digits than its factorization.

13225131744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544560 (or 544552 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

Adding to 13225131744 its reverse (44713152231), we get a palindrome (57938283975).

The spelling of 13225131744 in words is "thirteen billion, two hundred twenty-five million, one hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 544513 1089026 1633539 2178052 3267078 4356104 5989643 6534156 8712208 11979286 12523799 13068312 17424416 17968929 23958572 25047598 26136624 35937858 37571397 47917144 50095196 52273248 71875716 75142794 95834288 100190392 137761789 143751432 150285588 191668576 200380784 275523578 287502864 300571176 400761568 413285367 551047156 575005728 601142352 826570734 1102094312 1202284704 1653141468 2204188624 3306282936 4408377248 6612565872 13225131744