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642824428246 = 271113321091123
BaseRepresentation
bin10010101101010110101…
…00100101101011010110
32021110020112120102011021
421112223110211223112
541013001023200441
61211150502231354
764304534325340
oct11265324455326
92243215512137
10642824428246
112286906a4360
12a470072555a
1348805c10b90
14231819d4290
1511ac47b73d1
hex95ab525ad6

642824428246 has 32 divisors (see below), whose sum is σ = 1294639411968. Its totient is φ = 231185607840.

The previous prime is 642824428243. The next prime is 642824428247.

It is a happy number.

642824428246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 642824428193 and 642824428202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642824428243) 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, 160543560 + ... + 160547563.

It is an arithmetic number, because the mean of its divisors is an integer number (40457481624).

Almost surely, 2642824428246 is an apocalyptic number.

642824428246 is an abundant number, since it is smaller than the sum of its proper divisors (651814983722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642824428246 is a wasteful number, since it uses less digits than its factorization.

642824428246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321091156.

The product of its digits is 9437184, while the sum is 52.

The spelling of 642824428246 in words is "six hundred forty-two billion, eight hundred twenty-four million, four hundred twenty-eight thousand, two hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 321091123 642182246 2247637861 3532002353 4174184599 4495275722 7064004706 8348369198 24724016471 29219292193 45916030589 49448032942 58438584386 91832061178 321412214123 642824428246