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13190818977 = 347375910657
BaseRepresentation
bin11000100100011101…
…11110110010100001
31021001021212000220000
430102032332302201
5204003322201402
610020525010213
7644611053120
oct142216766241
937037760800
1013190818977
115659967596
1226816b3969
131322a9313b
148d1c3bab7
15523095c1c
hex3123beca1

13190818977 has 80 divisors (see below), whose sum is σ = 23522632320. Its totient is φ = 7208911872.

The previous prime is 13190818973. The next prime is 13190819011. The reversal of 13190818977 is 77981809131.

13190818977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13190818977 - 22 = 13190818973 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13190818973) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1232433 + ... + 1243089.

It is an arithmetic number, because the mean of its divisors is an integer number (294032904).

Almost surely, 213190818977 is an apocalyptic number.

It is an amenable number.

13190818977 is a deficient number, since it is larger than the sum of its proper divisors (10331813343).

13190818977 is a wasteful number, since it uses less digits than its factorization.

13190818977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 54.

The spelling of 13190818977 in words is "thirteen billion, one hundred ninety million, eight hundred eighteen thousand, nine hundred seventy-seven".

Divisors: 1 3 7 9 21 27 37 59 63 81 111 177 189 259 333 413 531 567 777 999 1239 1593 2183 2331 2997 3717 4779 6549 6993 10657 11151 15281 19647 20979 31971 33453 45843 58941 74599 95913 137529 176823 223797 287739 394309 412587 628763 671391 863217 1182927 1237761 1886289 2014173 2760163 3548781 4401341 5658867 6042519 8280489 10646343 13204023 16976601 23264231 24841467 31939029 39612069 50929803 69792693 74524401 118836207 162849617 209378079 223573203 356508621 488548851 628134237 1465646553 1884402711 4396939659 13190818977