Search a number
-
+
12884619392 = 277921272
BaseRepresentation
bin10111111111111101…
…11011000010000000
31020020221200111000122
423333332323002000
5202341430310032
65530310035412
7634202313011
oct137776730200
936227614018
1012884619392
115512039287
1225b7048b68
1312a4504558
148a32d3008
15506260012
hex2fffbb080

12884619392 has 72 divisors (see below), whose sum is σ = 26203926735. Its totient is φ = 6310676736.

The previous prime is 12884619347. The next prime is 12884619421. The reversal of 12884619392 is 29391648821.

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 only one way, i.e., 6442309696 + 6442309696 = 80264^2 + 80264^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80264.

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, 101453633 + ... + 101453759.

Almost surely, 212884619392 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 12884619392

12884619392 is an abundant number, since it is smaller than the sum of its proper divisors (13319307343).

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

12884619392 is an frugal number, since it uses more digits than its factorization.

12884619392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 208 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The spelling of 12884619392 in words is "twelve billion, eight hundred eighty-four million, six hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 79 127 128 158 254 316 508 632 1016 1264 2032 2528 4064 5056 6241 8128 10033 10112 12482 16129 16256 20066 24964 32258 40132 49928 64516 80264 99856 129032 160528 199712 258064 321056 399424 516128 642112 792607 798848 1032256 1274191 1284224 1585214 2064512 2548382 3170428 5096764 6340856 10193528 12681712 20387056 25363424 40774112 50726848 81548224 100661089 101453696 163096448 201322178 402644356 805288712 1610577424 3221154848 6442309696 12884619392