Search a number
-
+
42717907680 = 2535712713663
BaseRepresentation
bin100111110010001011…
…111000101011100000
311002021002021112220220
4213302023320223200
51144441241021210
631342505003040
73041406136620
oct476213705340
9132232245826
1042717907680
1117131166338
128342183480
13404a198c66
1420d3542880
1511a0407c70
hex9f22f8ae0

42717907680 has 96 divisors (see below), whose sum is σ = 153784479744. Its totient is φ = 9764092416.

The previous prime is 42717907669. The next prime is 42717907753. The reversal of 42717907680 is 8670971724.

42717907680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6353472 + ... + 6360191.

It is an arithmetic number, because the mean of its divisors is an integer number (1601921664).

Almost surely, 242717907680 is an apocalyptic number.

42717907680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42717907680 is an abundant number, since it is smaller than the sum of its proper divisors (111066572064).

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

42717907680 is a wasteful number, since it uses less digits than its factorization.

42717907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713688 (or 12713680 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 42717907680 in words is "forty-two billion, seven hundred seventeen million, nine hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 12713663 25427326 38140989 50854652 63568315 76281978 88995641 101709304 127136630 152563956 177991282 190704945 203418608 254273260 266986923 305127912 355982564 381409890 406837216 444978205 508546520 533973846 610255824 711965128 762819780 889956410 1017093040 1067947692 1220511648 1334934615 1423930256 1525639560 1779912820 2034186080 2135895384 2669869230 2847860512 3051279120 3559825640 4271790768 5339738460 6102558240 7119651280 8543581536 10679476920 14239302560 21358953840 42717907680