Search a number
-
+
42707645520 = 24357312172003
BaseRepresentation
bin100111110001100100…
…101111010001010000
311002020100222011212220
4213301210233101100
51144431124124040
631341501021040
73041222666031
oct476144572120
9132210864786
1042707645520
1117126397211
12833a854780
134048014c87
1420d2030a88
15119e57c2d0
hex9f192f450

42707645520 has 160 divisors (see below), whose sum is σ = 134384648832. Its totient is φ = 11217862656.

The previous prime is 42707645507. The next prime is 42707645573. The reversal of 42707645520 is 2554670724.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21320839 + ... + 21322841.

Almost surely, 242707645520 is an apocalyptic number.

42707645520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42707645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67192324416).

42707645520 is an abundant number, since it is smaller than the sum of its proper divisors (91677003312).

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

42707645520 is a wasteful number, since it uses less digits than its factorization.

42707645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 42707645520 in words is "forty-two billion, seven hundred seven million, six hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1217 1460 1752 2003 2190 2434 2920 3504 3651 4006 4380 4868 5840 6009 6085 7302 8012 8760 9736 10015 12018 12170 14604 16024 17520 18255 19472 20030 24036 24340 29208 30045 32048 36510 40060 48072 48680 58416 60090 73020 80120 88841 96144 97360 120180 146040 146219 160240 177682 240360 266523 292080 292438 355364 438657 444205 480720 533046 584876 710728 731095 877314 888410 1066092 1169752 1332615 1421456 1462190 1754628 1776820 2132184 2193285 2339504 2437651 2665230 2924380 3509256 3553640 4264368 4386570 4875302 5330460 5848760 7018512 7107280 7312953 8773140 9750604 10660920 11697520 12188255 14625906 17546280 19501208 21321840 24376510 29251812 35092560 36564765 39002416 48753020 58503624 73129530 97506040 117007248 146259060 177948523 195012080 292518120 355897046 533845569 585036240 711794092 889742615 1067691138 1423588184 1779485230 2135382276 2669227845 2847176368 3558970460 4270764552 5338455690 7117940920 8541529104 10676911380 14235881840 21353822760 42707645520