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3482382815505 = 335117332123821
BaseRepresentation
bin110010101011001110001…
…100001101000100010001
3110022220122020122021211000
4302223032030031010101
5424023410000044010
611223441245212213
7506410456351506
oct62531614150421
913286566567730
103482382815505
11112296334a770
12482aaab61069
131c3505b52c49
14c079649d4ad
15608b88da7c0
hex32ace30d111

3482382815505 has 64 divisors (see below), whose sum is σ = 6846228944640. Its totient is φ = 1665298828800.

The previous prime is 3482382815489. The next prime is 3482382815543. The reversal of 3482382815505 is 5055182832843.

It is a happy number.

3482382815505 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 3 + 8 + 2 + 81 + 550 + 5 = 666.

It is not a de Polignac number, because 3482382815505 - 24 = 3482382815489 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15953506 + ... + 16170315.

It is an arithmetic number, because the mean of its divisors is an integer number (106972327260).

Almost surely, 23482382815505 is an apocalyptic number.

It is an amenable number.

3482382815505 is a deficient number, since it is larger than the sum of its proper divisors (3363846129135).

3482382815505 is a wasteful number, since it uses less digits than its factorization.

3482382815505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123919 (or 32123913 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 3482382815505 in words is "three trillion, four hundred eighty-two billion, three hundred eighty-two million, eight hundred fifteen thousand, five hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 73 99 135 165 219 297 365 495 657 803 1095 1485 1971 2409 3285 4015 7227 9855 12045 21681 36135 108405 32123821 96371463 160619105 289114389 353362031 481857315 867343167 1060086093 1445571945 1766810155 2345038933 3180258279 4336715835 5300430465 7035116799 9540774837 11725194665 15901291395 21105350397 25795428263 35175583995 47703874185 63316051191 77386284789 105526751985 128977141315 232158854367 316580255955 386931423945 696476563101 1160794271835 3482382815505