Search a number
-
+
42465111325260 = 22351354442450417
BaseRepresentation
bin10011010011111001011011…
…11000000011101001001100
312120100121212121210021010120
421221330231320003221030
521031222021444402020
6230152111451104540
711642001021426321
oct1151745570035114
9176317777707116
1042465111325260
1112592397309668
12491a033a42150
131a9059ab33560
14a6b472780b48
154d993593c740
hex269f2de03a4c

42465111325260 has 48 divisors (see below), whose sum is σ = 128048643383136. Its totient is φ = 10452950479872.

The previous prime is 42465111325249. The next prime is 42465111325267. The reversal of 42465111325260 is 6252311156424.

42465111325260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424651113252602 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42465111325267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27221224429 + ... + 27221225988.

It is an arithmetic number, because the mean of its divisors is an integer number (2667680070482).

Almost surely, 242465111325260 is an apocalyptic number.

It is an amenable number.

42465111325260 is an abundant number, since it is smaller than the sum of its proper divisors (85583532057876).

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

42465111325260 is a wasteful number, since it uses less digits than its factorization.

42465111325260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54442450442 (or 54442450440 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 42465111325260 in words is "forty-two trillion, four hundred sixty-five billion, one hundred eleven million, three hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 54442450417 108884900834 163327351251 217769801668 272212252085 326654702502 544424504170 653309405004 707751855421 816636756255 1088849008340 1415503710842 1633273512510 2123255566263 2831007421684 3266547025020 3538759277105 4246511132526 7077518554210 8493022265052 10616277831315 14155037108420 21232555662630 42465111325260