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12571443664 = 241389977001
BaseRepresentation
bin10111011010101000…
…10000000111010000
31012110010101111200121
423231110100013100
5201221242144124
65435241400024
7623350336153
oct135524200720
935403344617
1012571443664
11537128576a
12252a199014
131254672580
1487388dc9a
154d89ec2e4
hex2ed5101d0

12571443664 has 80 divisors (see below), whose sum is σ = 26802815760. Its totient is φ = 5677056000.

The previous prime is 12571443659. The next prime is 12571443673. The reversal of 12571443664 is 46634417521.

It can be written as a sum of positive squares in 8 ways, for example, as 2142949264 + 10428494400 = 46292^2 + 102120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12571443664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792164 + ... + 1799164.

It is an arithmetic number, because the mean of its divisors is an integer number (335035197).

Almost surely, 212571443664 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 12571443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401407880).

12571443664 is an abundant number, since it is smaller than the sum of its proper divisors (14231372096).

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

12571443664 is a wasteful number, since it uses less digits than its factorization.

12571443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208 (or 7202 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The spelling of 12571443664 in words is "twelve billion, five hundred seventy-one million, four hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 89 97 104 178 194 208 356 388 712 776 1157 1261 1424 1552 2314 2522 4628 5044 7001 8633 9256 10088 14002 17266 18512 20176 28004 34532 56008 69064 91013 112016 112229 138128 182026 224458 364052 448916 623089 679097 728104 897832 1246178 1358194 1456208 1795664 2492356 2716388 4984712 5432776 8100157 8828261 9969424 10865552 16200314 17656522 32400628 35313044 60439633 64801256 70626088 120879266 129602512 141252176 241758532 483517064 785715229 967034128 1571430458 3142860916 6285721832 12571443664