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12803840288 = 258322412
BaseRepresentation
bin10111110110010101…
…10001100100100000
31020001022200110220222
423323022301210200
5202210240342123
65514302422212
7632201563301
oct137312614440
936038613828
1012803840288
115480485798
122593b91968
131290860675
148966a67a8
154ee1056c8
hex2fb2b1920

12803840288 has 54 divisors (see below), whose sum is σ = 25621235577. Its totient is φ = 6298544640.

The previous prime is 12803840279. The next prime is 12803840299. The reversal of 12803840288 is 88204830821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11930755984 + 873084304 = 109228^2 + 29548^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80012.

It is a super-2 number, since 2×128038402882 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53127848 + ... + 53128088.

Almost surely, 212803840288 is an apocalyptic number.

It is an amenable number.

12803840288 is an abundant number, since it is smaller than the sum of its proper divisors (12817395289).

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

12803840288 is an frugal number, since it uses more digits than its factorization.

12803840288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 12803840288 in words is "twelve billion, eight hundred three million, eight hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 83 166 241 332 482 664 964 1328 1928 2656 3856 6889 7712 13778 20003 27556 40006 55112 58081 80012 110224 116162 160024 220448 232324 320048 464648 640096 929296 1660249 1858592 3320498 4820723 6640996 9641446 13281992 19282892 26563984 38565784 53127968 77131568 154263136 400120009 800240018 1600480036 3200960072 6401920144 12803840288