Search a number
-
+
474829106129 = 7210619133261
BaseRepresentation
bin1101110100011100000…
…01010010101111010001
31200101121122201211002222
412322032001102233101
530234422222344004
61002044455350425
746206464544200
oct6721601225721
91611548654088
10474829106129
11173412719374
1278037382415
1335a123ab431
1418da62b3237
15c540e557be
hex6e8e052bd1

474829106129 has 12 divisors (see below), whose sum is σ = 552872881908. Its totient is φ = 406612735200.

The previous prime is 474829106123. The next prime is 474829106149. The reversal of 474829106129 is 921601928474.

It can be written as a sum of positive squares in 2 ways, for example, as 143228187025 + 331600919104 = 378455^2 + 575848^2 .

It is a de Polignac number, because none of the positive numbers 2k-474829106129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (474829106123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4514642 + ... + 4618619.

It is an arithmetic number, because the mean of its divisors is an integer number (46072740159).

Almost surely, 2474829106129 is an apocalyptic number.

474829106129 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

474829106129 is a deficient number, since it is larger than the sum of its proper divisors (78043775779).

474829106129 is a wasteful number, since it uses less digits than its factorization.

474829106129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134336 (or 9134329 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 474829106129 in words is "four hundred seventy-four billion, eight hundred twenty-nine million, one hundred six thousand, one hundred twenty-nine".

Divisors: 1 7 49 1061 7427 51989 9133261 63932827 447529789 9690389921 67832729447 474829106129