Search a number
-
+
42786899592120 = 23325226871523877
BaseRepresentation
bin10011011101010000110011…
…11100111000001110111000
312121111101110121011221002100
421232220121330320032320
521102010032243421440
6231000010314303400
712004152154524615
oct1156503174701670
9177441417157070
1042786899592120
11126a6905405282
12497047a127b60
131ab4a3097c458
14a7cc7b4a950c
154e2ebad54230
hex26ea19f383b8

42786899592120 has 96 divisors (see below), whose sum is σ = 139058302050720. Its totient is φ = 11409767819520.

The previous prime is 42786899592061. The next prime is 42786899592163. The reversal of 42786899592120 is 2129599868724.

42786899592120 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 6 + 8 + 9 + 9 + 592 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 81411622 + ... + 81935498.

It is an arithmetic number, because the mean of its divisors is an integer number (1448523979695).

Almost surely, 242786899592120 is an apocalyptic number.

42786899592120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42786899592120 is an abundant number, since it is smaller than the sum of its proper divisors (96271402458600).

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

42786899592120 is a wasteful number, since it uses less digits than its factorization.

42786899592120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750765 (or 750758 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 42786899592120 in words is "forty-two trillion, seven hundred eighty-six billion, eight hundred ninety-nine million, five hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 226871 453742 523877 680613 907484 1047754 1134355 1361226 1571631 1814968 2041839 2095508 2268710 2619385 2722452 3143262 3403065 4083678 4191016 4537420 4714893 5238770 5444904 6286524 6806130 7858155 8167356 9074840 9429786 10209195 10477540 12573048 13612260 15716310 16334712 18859572 20418390 20955080 23574465 27224520 31432620 37719144 40836780 47148930 62865240 81673560 94297860 188595720 118852498867 237704997734 356557496601 475409995468 594262494335 713114993202 950819990936 1069672489803 1188524988670 1426229986404 1782787483005 2139344979606 2377049977340 2852459972808 3565574966010 4278689959212 4754099954680 5348362449015 7131149932020 8557379918424 10696724898030 14262299864040 21393449796060 42786899592120