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7267642141 = 97716694457
BaseRepresentation
bin1101100010010111…
…10110101100011101
3200202111100110210011
412301023312230131
5104341004022031
63201054443221
7345045640024
oct66113665435
920674313704
107267642141
11309a438121
1214a9b03511
138ba8b4786
144cd3098bb
152c80856b1
hex1b12f6b1d

7267642141 has 8 divisors (see below), whose sum is σ = 7281073080. Its totient is φ = 7254225408.

The previous prime is 7267642127. The next prime is 7267642211. The reversal of 7267642141 is 1412467627.

It can be written as a sum of positive squares in 4 ways, for example, as 3579509241 + 3688132900 = 59829^2 + 60730^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 7267642141 - 29 = 7267641629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7267642094 and 7267642103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7267042141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1628385 + ... + 1632841.

It is an arithmetic number, because the mean of its divisors is an integer number (910134135).

Almost surely, 27267642141 is an apocalyptic number.

It is an amenable number.

7267642141 is a deficient number, since it is larger than the sum of its proper divisors (13430939).

7267642141 is a wasteful number, since it uses less digits than its factorization.

7267642141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103.

The product of its digits is 112896, while the sum is 40.

The square root of 7267642141 is about 85250.4671013596. The cubic root of 7267642141 is about 1937.0069463722.

The spelling of 7267642141 in words is "seven billion, two hundred sixty-seven million, six hundred forty-two thousand, one hundred forty-one".

Divisors: 1 977 1669 4457 1630613 4354489 7438733 7267642141