Search a number
-
+
13503882213677 = 316111636140269
BaseRepresentation
bin1100010010000001111000…
…0110100011100100101101
31202210221212202210010111202
43010200132012203210231
53232221422321314202
644415333045055245
72562423534633212
oct304403606434455
952727782703452
1013503882213677
114336a67511849
1216211869b7525
1376c5451c743b
1434983ca9bb09
15186401025802
hexc481e1a392d

13503882213677 has 16 divisors (see below), whose sum is σ = 14180192171520. Its totient is φ = 12842984548800.

The previous prime is 13503882213589. The next prime is 13503882213719. The reversal of 13503882213677 is 77631228830531.

It is a cyclic number.

It is not a de Polignac number, because 13503882213677 - 232 = 13499587246381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503882213277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870902 + ... + 5269367.

It is an arithmetic number, because the mean of its divisors is an integer number (886262010720).

Almost surely, 213503882213677 is an apocalyptic number.

It is an amenable number.

13503882213677 is a deficient number, since it is larger than the sum of its proper divisors (676309957843).

13503882213677 is a wasteful number, since it uses less digits than its factorization.

13503882213677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141524.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 13503882213677 in words is "thirteen trillion, five hundred three billion, eight hundred eighty-two million, two hundred thirteen thousand, six hundred seventy-seven".

Divisors: 1 31 61 1163 1891 36053 70943 2199233 6140269 190348339 374556409 7141132847 11611248679 221375118257 435609103667 13503882213677