Search a number
-
+
13527855808 = 261761317643
BaseRepresentation
bin11001001100101001…
…01011001011000000
31021220210001021111121
430212110223023000
5210201112341213
610114204522024
7656142606565
oct144624531300
937823037447
1013527855808
115812138325
122756550314
13137785ab0c
149248d286c
1554296d88d
hex32652b2c0

13527855808 has 112 divisors (see below), whose sum is σ = 29025579744. Its totient is φ = 6232227840.

The previous prime is 13527855797. The next prime is 13527855833. The reversal of 13527855808 is 80855872531.

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, 21038335 + ... + 21038977.

It is an arithmetic number, because the mean of its divisors is an integer number (259156962).

Almost surely, 213527855808 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 13527855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512789872).

13527855808 is an abundant number, since it is smaller than the sum of its proper divisors (15497723936).

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

13527855808 is a wasteful number, since it uses less digits than its factorization.

13527855808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The spelling of 13527855808 in words is "thirteen billion, five hundred twenty-seven million, eight hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 317 488 544 634 643 976 1037 1088 1268 1286 1952 2074 2536 2572 3904 4148 5072 5144 5389 8296 10144 10288 10778 10931 16592 19337 20288 20576 21556 21862 33184 38674 39223 41152 43112 43724 66368 77348 78446 86224 87448 154696 156892 172448 174896 203831 309392 313784 328729 344896 349792 407662 618784 627568 657458 666791 699584 815324 1237568 1255136 1314916 1333582 1630648 2510272 2629832 2667164 3261296 3465127 5259664 5334328 6522592 6930254 10519328 10668656 12433691 13045184 13860508 21038656 21337312 24867382 27721016 42674624 49734764 55442032 99469528 110884064 198939056 211372747 221768128 397878112 422745494 795756224 845490988 1690981976 3381963952 6763927904 13527855808