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13712413605 = 3511175392237
BaseRepresentation
bin11001100010101001…
…01101001110100101
31022101122022210012120
430301110231032211
5211040334213410
610144400340153
7663543410142
oct146124551645
938348283176
1013712413605
1158a7333330
1227a8314659
1313a6b69407
149412153c9
15553c77570
hex33152d3a5

13712413605 has 64 divisors (see below), whose sum is σ = 25820736768. Its totient is φ = 6139228160.

The previous prime is 13712413579. The next prime is 13712413643. The reversal of 13712413605 is 50631421731.

13712413605 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 13712413605 - 25 = 13712413573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 102547 + ... + 194783.

It is an arithmetic number, because the mean of its divisors is an integer number (403449012).

Almost surely, 213712413605 is an apocalyptic number.

13712413605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13712413605 is a deficient number, since it is larger than the sum of its proper divisors (12108323163).

13712413605 is a wasteful number, since it uses less digits than its factorization.

13712413605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92326.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 13712413605 in words is "thirteen billion, seven hundred twelve million, four hundred thirteen thousand, six hundred five".

Divisors: 1 3 5 11 15 17 33 51 53 55 85 159 165 187 255 265 561 583 795 901 935 1749 2703 2805 2915 4505 8745 9911 13515 29733 49555 92237 148665 276711 461185 1014607 1383555 1568029 3043821 4704087 4888561 5073035 7840145 14665683 15219105 17248319 23520435 24442805 51744957 53774171 73328415 83105537 86241595 161322513 249316611 258724785 268870855 415527685 806612565 914160907 1246583055 2742482721 4570804535 13712413605