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13361195456 = 267411933769
BaseRepresentation
bin11000111000110001…
…11010100111000000
31021111011110001110222
430130120322213000
5204330431223311
610045452442212
7652050200420
oct143430724700
937434401428
1013361195456
1157370569a4
12270a779368
13134c17791b
1490a70c480
15532eecadb
hex31c63a9c0

13361195456 has 112 divisors (see below), whose sum is σ = 31209447360. Its totient is φ = 5556142080.

The previous prime is 13361195453. The next prime is 13361195501. The reversal of 13361195456 is 65459116331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13361195453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3543140 + ... + 3546908.

It is an arithmetic number, because the mean of its divisors is an integer number (278655780).

Almost surely, 213361195456 is an apocalyptic number.

13361195456 is a gapful number since it is divisible by the number (16) 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 13361195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604723680).

13361195456 is an abundant number, since it is smaller than the sum of its proper divisors (17848251904).

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

13361195456 is a wasteful number, since it uses less digits than its factorization.

13361195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4012 counting only the distinct ones).

The product of its digits is 291600, while the sum is 44.

The spelling of 13361195456 in words is "thirteen billion, three hundred sixty-one million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 193 224 287 328 386 448 574 656 772 1148 1312 1351 1544 2296 2624 2702 3088 3769 4592 5404 6176 7538 7913 9184 10808 12352 15076 15826 18368 21616 26383 30152 31652 43232 52766 55391 60304 63304 86464 105532 110782 120608 126608 154529 211064 221564 241216 253216 309058 422128 443128 506432 618116 727417 844256 886256 1081703 1236232 1454834 1688512 1772512 2163406 2472464 2909668 3545024 4326812 4944928 5091919 5819336 8653624 9889856 10183838 11638672 17307248 20367676 23277344 29824097 34614496 40735352 46554688 59648194 69228992 81470704 119296388 162941408 208768679 238592776 325882816 417537358 477185552 835074716 954371104 1670149432 1908742208 3340298864 6680597728 13361195456