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35114906129 = 37225650041
BaseRepresentation
bin100000101101000000…
…101111001000010001
310100122012220001111212
4200231000233020101
51033403403444004
624044230145505
72352115530422
oct405500571021
9110565801455
1035114906129
111398a4a3786
12697bab2295
133407c86184
1419b189b649
15da7bcb96e
hex82d02f211

35114906129 has 6 divisors (see below), whose sum is σ = 36089609094. Its totient is φ = 34165853280.

The previous prime is 35114906093. The next prime is 35114906137. The reversal of 35114906129 is 92160941153.

It can be written as a sum of positive squares in 3 ways, for example, as 15296742400 + 19818163729 = 123680^2 + 140777^2 .

It is not a de Polignac number, because 35114906129 - 224 = 35098128913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35114906329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12823652 + ... + 12826389.

It is an arithmetic number, because the mean of its divisors is an integer number (6014934849).

Almost surely, 235114906129 is an apocalyptic number.

It is an amenable number.

35114906129 is a deficient number, since it is larger than the sum of its proper divisors (974702965).

35114906129 is an equidigital number, since it uses as much as digits as its factorization.

35114906129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650115 (or 25650078 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The spelling of 35114906129 in words is "thirty-five billion, one hundred fourteen million, nine hundred six thousand, one hundred twenty-nine".

Divisors: 1 37 1369 25650041 949051517 35114906129