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642717673416 = 233271398094883
BaseRepresentation
bin10010101101001001111…
…01010110011111001000
32021102222002200201001200
421112210331112133020
541012241211022131
61211132130144200
764302100040640
oct11264475263710
92242862621050
10642717673416
11228636409925
12a4690a22060
13487b9a73940
1423171765520
1511aba22b2e6
hex95a4f567c8

642717673416 has 96 divisors (see below), whose sum is σ = 2142392266560. Its totient is φ = 169507956096.

The previous prime is 642717673369. The next prime is 642717673457. The reversal of 642717673416 is 614376717246.

It is a happy number.

642717673416 is a `hidden beast` number, since 6 + 427 + 176 + 7 + 3 + 41 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49040890 + ... + 49053993.

It is an arithmetic number, because the mean of its divisors is an integer number (22316586110).

Almost surely, 2642717673416 is an apocalyptic number.

It is an amenable number.

642717673416 is an abundant number, since it is smaller than the sum of its proper divisors (1499674593144).

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

642717673416 is a wasteful number, since it uses less digits than its factorization.

642717673416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98094915 (or 98094908 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The spelling of 642717673416 in words is "six hundred forty-two billion, seven hundred seventeen million, six hundred seventy-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 98094883 196189766 294284649 392379532 588569298 686664181 784759064 882853947 1177138596 1275233479 1373328362 1765707894 2059992543 2354277192 2550466958 2746656724 3531415788 3825700437 4119985086 5100933916 5493313448 6179977629 7062831576 7651400874 8239970172 8926634353 10201867832 11477101311 12359955258 15302801748 16479940344 17853268706 22954202622 24719910516 26779903059 30605603496 35706537412 45908405244 49439821032 53559806118 71413074824 80339709177 91816810488 107119612236 160679418354 214239224472 321358836708 642717673416