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3290461430801 = 172918793552083
BaseRepresentation
bin101111111000011110110…
…010001110010000010001
3102122120020220200210010112
4233320132302032100101
5412402331111241201
610555341144011105
7456504462452666
oct57703662162021
912576226623115
103290461430801
111059527771836
12451868a60a95
131ab39b440c0c
14b538b2aba6d
155a8d47e00bb
hex2fe1ec8e411

3290461430801 has 16 divisors (see below), whose sum is σ = 3606075676800. Its totient is φ = 2988522878208.

The previous prime is 3290461430797. The next prime is 3290461430857. The reversal of 3290461430801 is 1080341640923.

3290461430801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3290461430801 - 22 = 3290461430797 is a prime.

It is a super-2 number, since 2×32904614308012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3290461430881) 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, 849695 + ... + 2702388.

It is an arithmetic number, because the mean of its divisors is an integer number (225379729800).

Almost surely, 23290461430801 is an apocalyptic number.

It is an amenable number.

3290461430801 is a deficient number, since it is larger than the sum of its proper divisors (315614245999).

3290461430801 is a wasteful number, since it uses less digits than its factorization.

3290461430801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554008.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 3290461430801 in words is "three trillion, two hundred ninety billion, four hundred sixty-one million, four hundred thirty thousand, eight hundred one".

Divisors: 1 17 29 493 1879 31943 54491 926347 3552083 60385411 103010407 1751176919 6674363957 113464187269 193556554753 3290461430801