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42072294881 = 291718984401
BaseRepresentation
bin100111001011101101…
…000100010111100001
311000121002110000122202
4213023231010113201
51142131001414011
631154443142545
73016406414561
oct471355042741
9130532400582
1042072294881
111692a793941
1281a1b14a55
133c764bcb56
1420718c4da1
1511638ca23b
hex9cbb445e1

42072294881 has 8 divisors (see below), whose sum is σ = 43526111400. Its totient is φ = 40618681600.

The previous prime is 42072294779. The next prime is 42072294907. The reversal of 42072294881 is 18849227024.

42072294881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5499557281 + 36572737600 = 74159^2 + 191240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42072294881 is a prime.

It is a super-2 number, since 2×420722948812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42072297881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456281 + ... + 540681.

It is an arithmetic number, because the mean of its divisors is an integer number (5440763925).

Almost surely, 242072294881 is an apocalyptic number.

It is an amenable number.

42072294881 is a deficient number, since it is larger than the sum of its proper divisors (1453816519).

42072294881 is a wasteful number, since it uses less digits than its factorization.

42072294881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101619.

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 42072294881 in words is "forty-two billion, seventy-two million, two hundred ninety-four thousand, eight hundred eighty-one".

Divisors: 1 29 17189 84401 498481 2447629 1450768789 42072294881