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1642125645 = 325314128711
BaseRepresentation
bin110000111100000…
…1101100101001101
311020102221121220100
41201320031211031
511330341010040
6430540241313
755456560216
oct14170154515
94212847810
101642125645
11772a34336
12399b40239
13202294ca4
1411813c40d
1599270b30
hex61e0d94d

1642125645 has 48 divisors (see below), whose sum is σ = 3009936384. Its totient is φ = 826848000.

The previous prime is 1642125637. The next prime is 1642125647. The reversal of 1642125645 is 5465212461.

1642125645 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 1 + 2 + 5 + 645 = 666.

It is not a de Polignac number, because 1642125645 - 23 = 1642125637 is a prime.

It is a super-3 number, since 3×16421256453 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642125647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42840 + ... + 71550.

It is an arithmetic number, because the mean of its divisors is an integer number (62707008).

Almost surely, 21642125645 is an apocalyptic number.

1642125645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1642125645 is a deficient number, since it is larger than the sum of its proper divisors (1367810739).

1642125645 is a wasteful number, since it uses less digits than its factorization.

1642125645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28794 (or 28791 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1642125645 is about 40523.1494950726. The cubic root of 1642125645 is about 1179.7829834075.

The spelling of 1642125645 in words is "one billion, six hundred forty-two million, one hundred twenty-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 31 41 45 93 123 155 205 279 369 465 615 1271 1395 1845 3813 6355 11439 19065 28711 57195 86133 143555 258399 430665 890041 1177151 1291995 2670123 3531453 4450205 5885755 8010369 10594359 13350615 17657265 36491681 40051845 52971795 109475043 182458405 328425129 547375215 1642125645