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1642132541 = 72231457083
BaseRepresentation
bin110000111100000…
…1111010000111101
311020102221222100202
41201320033100331
511330341220131
6430540333245
755456616300
oct14170172075
94212858322
101642132541
11772a39535
12399b44225
1320229817a
14118140b37
1599272bcb
hex61e0f43d

1642132541 has 12 divisors (see below), whose sum is σ = 1993290912. Its totient is φ = 1346343768.

The previous prime is 1642132489. The next prime is 1642132567. The reversal of 1642132541 is 1452312461.

It is not a de Polignac number, because 1642132541 - 218 = 1641870397 is a prime.

It is a super-2 number, since 2×16421325412 = 5393198564422233362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642132571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727415 + ... + 729668.

It is an arithmetic number, because the mean of its divisors is an integer number (166107576).

Almost surely, 21642132541 is an apocalyptic number.

It is an amenable number.

1642132541 is a deficient number, since it is larger than the sum of its proper divisors (351158371).

1642132541 is a wasteful number, since it uses less digits than its factorization.

1642132541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457120 (or 1457113 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 1642132541 is about 40523.2345821505. The cubic root of 1642132541 is about 1179.7846348792.

The spelling of 1642132541 in words is "one billion, six hundred forty-two million, one hundred thirty-two thousand, five hundred forty-one".

Divisors: 1 7 23 49 161 1127 1457083 10199581 33512909 71397067 234590363 1642132541