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642585254444 = 227419710495501
BaseRepresentation
bin10010101100111010001…
…00001101101000101100
32021102121212112010101022
421112131010031220230
541012003311120234
61211111040033312
764265601353540
oct11263504155054
92242555463338
10642585254444
11228578695561
12a4654602838
13487984bc113
142315bd35a20
1511aad7c0e2e
hex959d10da2c

642585254444 has 96 divisors (see below), whose sum is σ = 1331598441600. Its totient is φ = 265605120000.

The previous prime is 642585254419. The next prime is 642585254449. The reversal of 642585254444 is 444452585246.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (642585254449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116809694 + ... + 116815194.

It is an arithmetic number, because the mean of its divisors is an integer number (13870817100).

Almost surely, 2642585254444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642585254444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665799220800).

642585254444 is an abundant number, since it is smaller than the sum of its proper divisors (689013187156).

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

642585254444 is a wasteful number, since it uses less digits than its factorization.

642585254444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6697 counting only the distinct ones).

The product of its digits is 24576000, while the sum is 53.

The spelling of 642585254444 in words is "six hundred forty-two billion, five hundred eighty-five million, two hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 97 164 194 287 388 574 679 1049 1148 1358 2098 2716 3977 4196 5501 7343 7954 11002 14686 15908 22004 27839 29372 38507 43009 55678 77014 86018 101753 111356 154028 172036 203506 225541 301063 407012 451082 533597 602126 712271 902164 1067194 1204252 1424542 1578787 2134388 2849084 3157574 3735179 4171873 5770549 6315148 7470358 8343746 11541098 14940716 16687492 21877477 23082196 29203111 40393843 43754954 58406222 80787686 87509908 116812444 153142339 161575372 236592509 306284678 473185018 559743253 612569356 946370036 1119486506 1656147563 2238973012 3312295126 3918202771 6624590252 7836405542 15672811084 22949473373 45898946746 91797893492 160646313611 321292627222 642585254444