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804807431001 = 32721824960161
BaseRepresentation
bin10111011011000100100…
…00101101001101011001
32211221100102011112112200
423231202100231031121
5101141221200243001
61413420132200413
7112100610201600
oct13554220551531
92757312145480
10804807431001
112903538a4872
1210bb88469109
135ab7bc533c2
142ad4aa1aa37
1515e053ab086
hexbb6242d359

804807431001 has 18 divisors (see below), whose sum is σ = 1352295480042. Its totient is φ = 459889960320.

The previous prime is 804807430981. The next prime is 804807431027. The reversal of 804807431001 is 100134708408.

804807431001 is a `hidden beast` number, since 8 + 0 + 480 + 74 + 3 + 100 + 1 = 666.

804807431001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 711574915401 + 93232515600 = 843549^2 + 305340^2 .

It is not a de Polignac number, because 804807431001 - 26 = 804807430937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (804807430001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 912479640 + ... + 912480521.

It is an arithmetic number, because the mean of its divisors is an integer number (75127526669).

Almost surely, 2804807431001 is an apocalyptic number.

It is an amenable number.

804807431001 is a deficient number, since it is larger than the sum of its proper divisors (547488049041).

804807431001 is a wasteful number, since it uses less digits than its factorization.

804807431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824960181 (or 1824960171 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 804807431001 in words is "eight hundred four billion, eight hundred seven million, four hundred thirty-one thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 1824960161 5474880483 12774721127 16424641449 38324163381 89423047889 114972490143 268269143667 804807431001