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12543975552 = 27353718681
BaseRepresentation
bin10111010111010110…
…11110000010000000
31012101012200222112010
423223223132002000
5201142224204202
65432420532520
7622565014203
oct135353360200
935335628463
1012543975552
115357824549
122520b51140
13124ba75b54
1486dd7d93a
154d63c376c
hex2ebade080

12543975552 has 128 divisors (see below), whose sum is σ = 34430728320. Its totient is φ = 4044185600.

The previous prime is 12543975533. The next prime is 12543975557. The reversal of 12543975552 is 25557934521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12543975557) 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, 1440652 + ... + 1449332.

It is an arithmetic number, because the mean of its divisors is an integer number (268990065).

Almost surely, 212543975552 is an apocalyptic number.

12543975552 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 12543975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215364160).

12543975552 is an abundant number, since it is smaller than the sum of its proper divisors (21886752768).

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

12543975552 is an equidigital number, since it uses as much as digits as its factorization.

12543975552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8810 counting only the distinct ones).

The product of its digits is 1890000, while the sum is 48.

The spelling of 12543975552 in words is "twelve billion, five hundred forty-three million, nine hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 71 96 106 128 142 159 192 212 213 284 318 384 424 426 568 636 848 852 1136 1272 1696 1704 2272 2544 3392 3408 3763 4544 5088 6784 6816 7526 8681 9088 10176 11289 13632 15052 17362 20352 22578 26043 27264 30104 34724 45156 52086 60208 69448 90312 104172 120416 138896 180624 208344 240832 277792 361248 416688 460093 481664 555584 616351 722496 833376 920186 1111168 1232702 1380279 1444992 1666752 1840372 1849053 2465404 2760558 3333504 3680744 3698106 4930808 5521116 7361488 7396212 9861616 11042232 14722976 14792424 19723232 22084464 29445952 29584848 32666603 39446464 44168928 58891904 59169696 65333206 78892928 88337856 97999809 118339392 130666412 176675712 195999618 236678784 261332824 391999236 522665648 783998472 1045331296 1567996944 2090662592 3135993888 4181325184 6271987776 12543975552