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830584000001 = 7177988350601
BaseRepresentation
bin11000001011000101010…
…10100000111000000001
32221101212211022220202102
430011202222200320001
5102102014001000001
61433322013400145
7114002434340540
oct14054252407001
92841784286672
10830584000001
112a0281018658
12114b80a99055
13604293277b2
142c2b4190157
1516913327e6b
hexc162aa0e01

830584000001 has 16 divisors (see below), whose sum is σ = 1017798935040. Its totient is φ = 661569292800.

The previous prime is 830583999991. The next prime is 830584000009. The reversal of 830584000001 is 100000485038.

It is a Cunningham number, because it is equal to 94003+1.

It is a cyclic number.

It is not a de Polignac number, because 830584000001 - 218 = 830583737857 is a prime.

It is a super-2 number, since 2×8305840000012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830584000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44165900 + ... + 44184701.

It is an arithmetic number, because the mean of its divisors is an integer number (63612433440).

Almost surely, 2830584000001 is an apocalyptic number.

It is an amenable number.

830584000001 is a deficient number, since it is larger than the sum of its proper divisors (187214935039).

830584000001 is a wasteful number, since it uses less digits than its factorization.

830584000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88350704.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 830584000001 its reverse (100000485038), we get a palindrome (930584485039).

The spelling of 830584000001 in words is "eight hundred thirty billion, five hundred eighty-four million, one", and thus it is an aban number.

Divisors: 1 7 17 79 119 553 1343 9401 88350601 618454207 1501960217 6979697479 10513721519 48857882353 118654857143 830584000001