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13682525152 = 2517913191811
BaseRepresentation
bin11001011111000101…
…01100001111100000
31022022120002021221211
430233202230033200
5211010211301102
610141411555504
7663031354612
oct145742541740
938276067854
1013682525152
11589147972a
12279a2bbb94
1313a090313a
1493b274db2
155513217d7
hex32f8ac3e0

13682525152 has 48 divisors (see below), whose sum is σ = 27123465600. Its totient is φ = 6794131840.

The previous prime is 13682525111. The next prime is 13682525237. The reversal of 13682525152 is 25152528631.

13682525152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×136825251522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7554327 + ... + 7556137.

It is an arithmetic number, because the mean of its divisors is an integer number (565072200).

Almost surely, 213682525152 is an apocalyptic number.

It is an amenable number.

13682525152 is a deficient number, since it is larger than the sum of its proper divisors (13440940448).

13682525152 is a wasteful number, since it uses less digits than its factorization.

13682525152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3311 counting only the distinct ones).

The product of its digits is 144000, while the sum is 40.

The spelling of 13682525152 in words is "thirteen billion, six hundred eighty-two million, five hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 179 358 716 1319 1432 1811 2638 2864 3622 5276 5728 7244 10552 14488 21104 28976 42208 57952 236101 324169 472202 648338 944404 1296676 1888808 2388709 2593352 3777616 4777418 5186704 7555232 9554836 10373408 19109672 38219344 76438688 427578911 855157822 1710315644 3420631288 6841262576 13682525152