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42337902749 = 1922920112
BaseRepresentation
bin100111011011100010…
…010010000010011101
311001021121020022011012
4213123202102002131
51143202000341444
631241052105005
73026113143542
oct473342220235
9131247208135
1042337902749
1116a56707a7a
128256a65165
133cb953877c
142098ca4bc9
15117bd93b9e
hex9db89209d

42337902749 has 18 divisors (see below), whose sum is σ = 46247300190. Its totient is φ = 38707245360.

The previous prime is 42337902743. The next prime is 42337902757. The reversal of 42337902749 is 94720973324.

It can be written as a sum of positive squares in only one way, i.e., 36498192025 + 5839710724 = 191045^2 + 76418^2 .

It is not a de Polignac number, because 42337902749 - 220 = 42336854173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42337902697 and 42337902706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42337902743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21052154 + ... + 21054164.

It is an arithmetic number, because the mean of its divisors is an integer number (2569294455).

Almost surely, 242337902749 is an apocalyptic number.

It is an amenable number.

42337902749 is a deficient number, since it is larger than the sum of its proper divisors (3909397441).

42337902749 is an frugal number, since it uses more digits than its factorization.

42337902749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 42337902749 in words is "forty-two billion, three hundred thirty-seven million, nine hundred two thousand, seven hundred forty-nine".

Divisors: 1 19 29 361 551 2011 10469 38209 58319 725971 1108061 4044121 21053159 76838299 117279509 1459927681 2228310671 42337902749