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12133514456 = 23721910491553
BaseRepresentation
bin10110100110011011…
…01011110011011000
31011022121100101202022
423103031223303120
5144322134430311
65323555154012
7606452112500
oct132315536330
934277311668
1012133514456
115167063aa8
1224275a5908
1311b4a10b6b
14831654a00
154b03455db
hex2d336bcd8

12133514456 has 96 divisors (see below), whose sum is σ = 27902070000. Its totient is φ = 4918523904.

The previous prime is 12133514441. The next prime is 12133514473. The reversal of 12133514456 is 65441533121.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7812176 + ... + 7813728.

Almost surely, 212133514456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133514456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13951035000).

12133514456 is an abundant number, since it is smaller than the sum of its proper divisors (15768555544).

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

12133514456 is a wasteful number, since it uses less digits than its factorization.

12133514456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2630 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The spelling of 12133514456 in words is "twelve billion, one hundred thirty-three million, five hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1049 1064 1553 1862 2098 3106 3724 4196 6212 7343 7448 8392 10871 12424 14686 19931 21742 29372 29507 39862 43484 51401 58744 59014 76097 79724 86968 102802 118028 139517 152194 159448 205604 206549 236056 279034 304388 411208 413098 558068 608776 826196 976619 1116136 1445843 1629097 1652392 1953238 2891686 3258194 3906476 5783372 6516388 7812952 11403679 11566744 13032776 22807358 30952843 45614716 61905686 79825753 91229432 123811372 159651506 216669901 247622744 319303012 433339802 638606024 866679604 1516689307 1733359208 3033378614 6066757228 12133514456