Search a number
-
+
470687840055 = 335127151118169
BaseRepresentation
bin1101101100101110010…
…11100111011100110111
31122222221001012201001000
412312113023213130313
530202432041340210
61000121521534343
746002040425156
oct6662713473467
91588831181030
10470687840055
11171688018924
12772804a43b3
1335502428334
1418ad22a959d
15c39c5c8ac0
hex6d972e7737

470687840055 has 64 divisors (see below), whose sum is σ = 843971788800. Its totient is φ = 248878344960.

The previous prime is 470687839981. The next prime is 470687840101. The reversal of 470687840055 is 550048786074.

470687840055 is a `hidden beast` number, since 470 + 6 + 87 + 8 + 40 + 0 + 55 = 666.

It is not a de Polignac number, because 470687840055 - 28 = 470687839799 is a prime.

It is a super-3 number, since 3×4706878400553 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 470687839983 and 470687840010.

It is a congruent number.

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, 25897011 + ... + 25915179.

It is an arithmetic number, because the mean of its divisors is an integer number (13187059200).

Almost surely, 2470687840055 is an apocalyptic number.

470687840055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

470687840055 is a deficient number, since it is larger than the sum of its proper divisors (373283948745).

470687840055 is a wasteful number, since it uses less digits than its factorization.

470687840055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 470687840055 in words is "four hundred seventy billion, six hundred eighty-seven million, eight hundred forty thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 127 135 381 635 1143 1511 1905 3429 4533 5715 7555 13599 17145 18169 22665 40797 54507 67995 90845 163521 191897 203985 272535 490563 575691 817605 959485 1727073 2307463 2452815 2878455 5181219 6922389 8635365 11537315 20767167 25906095 27453359 34611945 62301501 82360077 103835835 137266795 247080231 311507505 411800385 741240693 1235401155 3486576593 3706203465 10459729779 17432882965 31379189337 52298648895 94137568011 156895946685 470687840055