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12621222548496 = 243247262992
BaseRepresentation
bin1011011110101001101101…
…1111001001010000010000
31122200120120200220022210100
42313222123133021100100
53123241230433022441
642502035401132400
72441565442364532
oct267523337112020
948616520808710
1012621222548496
1140266a3104181
1214ba0b1a8a100
1370723a0b25a3
14318c28667852
1516d490eeacb6
hexb7a9b7c9410

12621222548496 has 135 divisors (see below), whose sum is σ = 36095143602271. Its totient is φ = 4116908281152.

The previous prime is 12621222548491. The next prime is 12621222548507. The reversal of 12621222548496 is 69484522212621.

The square root of 12621222548496 is 3552636.

It is a perfect power (a square), and thus also a powerful number.

12621222548496 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 1 + 2 + 2 + 2 + 548 + 4 + 96 = 666.

12621222548496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12621222548491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2003683555 + ... + 2003689853.

Almost surely, 212621222548496 is an apocalyptic number.

12621222548496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12621222548496 is the 3552636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12621222548496

12621222548496 is an abundant number, since it is smaller than the sum of its proper divisors (23473921053775).

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

12621222548496 is an frugal number, since it uses more digits than its factorization.

12621222548496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12706 (or 6351 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 12621222548496 in words is "twelve trillion, six hundred twenty-one billion, two hundred twenty-two million, five hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2209 2256 3384 4418 6299 6627 6768 8836 12598 13254 17672 18897 19881 25196 26508 35344 37794 39762 50392 53016 56691 75588 79524 100784 106032 113382 151176 159048 226764 296053 302352 318096 453528 592106 888159 907056 1184212 1776318 2368424 2664477 3552636 4736848 5328954 7105272 10657908 13914491 14210544 21315816 27828982 39677401 41743473 42631632 55657964 79354802 83486946 111315928 119032203 125230419 158709604 166973892 222631856 238064406 250460838 317419208 333947784 357096609 476128812 500921676 634838416 667895568 714193218 952257624 1001843352 1428386436 1864837847 1904515248 2003686704 2856772872 3729675694 5594513541 5713545744 7459351388 11189027082 14918702776 16783540623 22378054164 29837405552 33567081246 44756108328 67134162492 87647378809 89512216656 134268324984 175294757618 262942136427 268536649968 350589515236 525884272854 701179030472 788826409281 1051768545708 1402358060944 1577652818562 2103537091416 3155305637124 4207074182832 6310611274248 12621222548496