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2042372841957 = 33710806205513
BaseRepresentation
bin11101101110000110111…
…010000110000111100101
321020020201110211020201000
4131232012322012013211
5231430234421420312
64202130402023513
7300361621501320
oct35560672060745
97206643736630
102042372841957
11718190252138
1228b9aa647b99
1311a7970b4016
1470bcc24b7b7
15381d7e73adc
hex1db86e861e5

2042372841957 has 16 divisors (see below), whose sum is σ = 3457985764480. Its totient is φ = 1167070195296.

The previous prime is 2042372841937. The next prime is 2042372841959. The reversal of 2042372841957 is 7591482732402.

2042372841957 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 372 + 84 + 195 + 7 = 666.

It is not a de Polignac number, because 2042372841957 - 26 = 2042372841893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042372841959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5403102568 + ... + 5403102945.

It is an arithmetic number, because the mean of its divisors is an integer number (216124110280).

Almost surely, 22042372841957 is an apocalyptic number.

2042372841957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2042372841957 is a deficient number, since it is larger than the sum of its proper divisors (1415612922523).

2042372841957 is a wasteful number, since it uses less digits than its factorization.

2042372841957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806205529 (or 10806205523 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2042372841957 in words is "two trillion, forty-two billion, three hundred seventy-two million, eight hundred forty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 189 10806205513 32418616539 75643438591 97255849617 226930315773 291767548851 680790947319 2042372841957