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163393128405 = 325132152314107
BaseRepresentation
bin1001100000101011111…
…1010100011111010101
3120121202010222221010100
42120022333110133111
510134112120102110
6203021201444313
714543014450563
oct2301277243725
9517663887110
10163393128405
1163327185811
1227800040699
131253c227b00
147ca0412a33
1543b47d8bc0
hex260afd47d5

163393128405 has 72 divisors (see below), whose sum is σ = 306899450208. Its totient is φ = 80381179008.

The previous prime is 163393128401. The next prime is 163393128469. The reversal of 163393128405 is 504821393361.

163393128405 is a `hidden beast` number, since 1 + 6 + 33 + 93 + 128 + 405 = 666.

It is not a de Polignac number, because 163393128405 - 22 = 163393128401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163393128401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11575362 + ... + 11589468.

It is an arithmetic number, because the mean of its divisors is an integer number (4262492364).

Almost surely, 2163393128405 is an apocalyptic number.

163393128405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163393128405 is a deficient number, since it is larger than the sum of its proper divisors (143506321803).

163393128405 is a wasteful number, since it uses less digits than its factorization.

163393128405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 163393128405 in words is "one hundred sixty-three billion, three hundred ninety-three million, one hundred twenty-eight thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 1523 2535 4569 7605 7615 13707 14107 19799 22845 42321 59397 68535 70535 98995 126963 178191 183391 211605 257387 296985 550173 634815 772161 890955 916955 1286935 1650519 2316483 2384083 2750865 3860805 7152249 8252595 11582415 11920415 21456747 21484961 35761245 64454883 107283735 107424805 193364649 279304493 322274415 837913479 966823245 1396522465 2513740437 3630958409 4189567395 10892875227 12568702185 18154792045 32678625681 54464376135 163393128405