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42915063819681 = 32532412012
BaseRepresentation
bin10011100000111111100010…
…01000100110110110100001
312121221122021120210021100100
421300133301020212312201
521111110022314212211
6231134524054413013
712016340200505004
oct1160376110466641
9177848246707310
1042915063819681
11127461a38073a9
124991288061169
131ac3b4741a6b1
14a85158c2953b
154e64bc945156
hex2707f1226da1

42915063819681 has 27 divisors (see below), whose sum is σ = 63181619740057. Its totient is φ = 28069549123200.

The previous prime is 42915063819673. The next prime is 42915063819743. The reversal of 42915063819681 is 18691836051924.

The square root of 42915063819681 is 6550959.

It is a perfect power (a square), and thus also a powerful number.

42915063819681 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 506 + 38 + 1 + 96 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14385749051025 + 28529314768656 = 3792855^2 + 5341284^2 .

It is not a de Polignac number, because 42915063819681 - 23 = 42915063819673 is a prime.

It is a super-2 number, since 2×429150638196812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42915063814681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1041581881 + ... + 1041623081.

Almost surely, 242915063819681 is an apocalyptic number.

42915063819681 is the 6550959-th square number.

42915063819681 is the 3275480-th centered octagonal number.

It is an amenable number.

42915063819681 is a deficient number, since it is larger than the sum of its proper divisors (20266555920376).

42915063819681 is an frugal number, since it uses more digits than its factorization.

42915063819681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82514 (or 41257 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 42915063819681 in words is "forty-two trillion, nine hundred fifteen billion, sixty-three million, eight hundred nineteen thousand, six hundred eighty-one".

Divisors: 1 3 9 53 159 477 2809 8427 25281 41201 123603 370809 2183653 6550959 19652877 115733609 347200827 1041602481 1697522401 5092567203 15277701609 89968687253 269906061759 809718185277 4768340424409 14305021273227 42915063819681