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12572811552 = 253734953609
BaseRepresentation
bin10111011010110010…
…11110000100100000
31012110012222000002010
423231121132010200
5201222114432202
65435330552520
7623365064160
oct135531360440
935405860063
1012572811552
11537202a454
12252a738740
131254a31082
14873b285a0
154d8bbc76c
hex2ed65e120

12572811552 has 96 divisors (see below), whose sum is σ = 37827216000. Its totient is φ = 3581872128.

The previous prime is 12572811541. The next prime is 12572811557. The reversal of 12572811552 is 25511827521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12572811552.

It is not an unprimeable number, because it can be changed into a prime (12572811557) 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, 207724 + ... + 261332.

It is an arithmetic number, because the mean of its divisors is an integer number (394033500).

Almost surely, 212572811552 is an apocalyptic number.

12572811552 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 12572811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913608000).

12572811552 is an abundant number, since it is smaller than the sum of its proper divisors (25254404448).

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

12572811552 is a wasteful number, since it uses less digits than its factorization.

12572811552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53978 (or 53970 counting only the distinct ones).

The product of its digits is 56000, while the sum is 39.

The spelling of 12572811552 in words is "twelve billion, five hundred seventy-two million, eight hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 349 672 698 1047 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 11168 14658 16752 19544 29316 33504 39088 53609 58632 78176 107218 117264 160827 214436 234528 321654 375263 428872 643308 750526 857744 1125789 1286616 1501052 1715488 2251578 2573232 3002104 4503156 5146464 6004208 9006312 12008416 18012624 18709541 36025248 37419082 56128623 74838164 112257246 130966787 149676328 224514492 261933574 299352656 392900361 449028984 523867148 598705312 785800722 898057968 1047734296 1571601444 1796115936 2095468592 3143202888 4190937184 6286405776 12572811552