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13412545233312 = 2531571493596047
BaseRepresentation
bin1100001100101101100111…
…1111101000000110100000
31202111020010100010210010010
43003023121333220012200
53224222343034431222
644305345504404520
72553011242255551
oct303133177500640
952436110123103
1013412545233312
114301257135605
121607536316740
13763a4a3bcc24
143452563b4328
15183d5760180c
hexc32d9fe81a0

13412545233312 has 96 divisors (see below), whose sum is σ = 35455977268992. Its totient is φ = 4439388754944.

The previous prime is 13412545233299. The next prime is 13412545233341. The reversal of 13412545233312 is 21333254521431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22204473 + ... + 22800519.

It is an arithmetic number, because the mean of its divisors is an integer number (369333096552).

Almost surely, 213412545233312 is an apocalyptic number.

13412545233312 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 13412545233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727988634496).

13412545233312 is an abundant number, since it is smaller than the sum of its proper divisors (22043432035680).

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

13412545233312 is a wasteful number, since it uses less digits than its factorization.

13412545233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597710 (or 597702 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

Adding to 13412545233312 its reverse (21333254521431), we get a palindrome (34745799754743).

The spelling of 13412545233312 in words is "thirteen trillion, four hundred twelve billion, five hundred forty-five million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1493 1884 2512 2986 3768 4479 5024 5972 7536 8958 11944 15072 17916 23888 35832 47776 71664 143328 234401 468802 596047 703203 937604 1192094 1406406 1788141 1875208 2384188 2812812 3576282 3750416 4768376 5625624 7152564 7500832 9536752 11251248 14305128 19073504 22502496 28610256 57220512 93579379 187158758 280738137 374317516 561476274 748635032 889898171 1122952548 1497270064 1779796342 2245905096 2669694513 2994540128 3559592684 4491810192 5339389026 7119185368 8983620384 10678778052 14238370736 21357556104 28476741472 42715112208 85430224416 139714012847 279428025694 419142038541 558856051388 838284077082 1117712102776 1676568154164 2235424205552 3353136308328 4470848411104 6706272616656 13412545233312