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505642632231051 = 32717535639811931
BaseRepresentation
bin111001011111000010001100…
…1011110100011100010001011
32110022022222000102121120000100
41302332010121132203202023
51012233422102322343201
64551225003553140443
7211335321540516630
oct16276043136434213
92408288012546010
10505642632231051
11137127921900027
1248864b1a55a723
131891ab848b4273
148cc133c086187
153d6cdd2abe886
hex1cbe1197a388b

505642632231051 has 48 divisors (see below), whose sum is σ = 835336946695680. Its totient is φ = 288722256036480.

The previous prime is 505642632230959. The next prime is 505642632231089. The reversal of 505642632231051 is 150132236246505.

505642632231051 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 4 + 2 + 6 + 322 + 310 + 5 + 1 = 666.

It is not a de Polignac number, because 505642632231051 - 210 = 505642632230027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505642632230988 and 505642632231006.

It is not an unprimeable number, because it can be changed into a prime (505642632235051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622359556 + ... + 623171486.

It is an arithmetic number, because the mean of its divisors is an integer number (17402853056160).

Almost surely, 2505642632231051 is an apocalyptic number.

505642632231051 is a deficient number, since it is larger than the sum of its proper divisors (329694314464629).

505642632231051 is a wasteful number, since it uses less digits than its factorization.

505642632231051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819336 (or 819333 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 505642632231051 its reverse (150132236246505), we get a palindrome (655774868477556).

The spelling of 505642632231051 in words is "five hundred five trillion, six hundred forty-two billion, six hundred thirty-two million, two hundred thirty-one thousand, fifty-one".

Divisors: 1 3 7 9 21 63 1753 5259 5639 12271 15777 16917 36813 39473 50751 110439 118419 355257 811931 2435793 5683517 7307379 9885167 17050551 29655501 51151653 69196169 88966503 207588507 622765521 1423315043 4269945129 4578478909 9963205301 12809835387 13735436727 29889615903 32049352363 41206310181 89668847709 96148057089 288444171267 8026073527477 24078220582431 56182514692339 72234661747293 168547544077017 505642632231051