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13042540665 = 3257117095309
BaseRepresentation
bin11000010010110010…
…10110000001111001
31020122221211201021200
430021121112001321
5203202342300130
65554110524413
7641130523620
oct141131260171
936587751250
1013042540665
1155931a0930
12263bb06709
1312cb147aab
148ba2806b7
15515056760
hex309656079

13042540665 has 96 divisors (see below), whose sum is σ = 28230508800. Its totient is φ = 5411612160.

The previous prime is 13042540603. The next prime is 13042540691. The reversal of 13042540665 is 56604524031.

13042540665 is a `hidden beast` number, since 13 + 0 + 42 + 540 + 6 + 65 = 666.

It is not a de Polignac number, because 13042540665 - 29 = 13042540153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2454031 + ... + 2459339.

It is an arithmetic number, because the mean of its divisors is an integer number (294067800).

Almost surely, 213042540665 is an apocalyptic number.

13042540665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13042540665 is an abundant number, since it is smaller than the sum of its proper divisors (15187968135).

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

13042540665 is a wasteful number, since it uses less digits than its factorization.

13042540665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13042540665 in words is "thirteen billion, forty-two million, five hundred forty thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 709 1155 2127 3465 3545 4963 5309 6381 7799 10635 14889 15927 23397 24815 26545 31905 37163 38995 44667 47781 54593 58399 70191 74445 79635 111489 116985 163779 175197 185815 223335 238905 272965 291995 334467 350955 408793 491337 525591 557445 818895 875985 1226379 1672335 2043965 2456685 2627955 3679137 3764081 6131895 11292243 18395685 18820405 26348567 33876729 41404891 56461215 79045701 124214673 131742835 169383645 207024455 237137103 289834237 372644019 395228505 621073365 869502711 1185685515 1449171185 1863220095 2608508133 4347513555 13042540665