Search a number
-
+
102935904761 = 761800916889
BaseRepresentation
bin101111111011101110…
…1010100000111111001
3100211200210001202110002
41133313131110013321
53141303042423021
6115142121402345
710302563516414
oct1376735240771
9324623052402
10102935904761
113a7226a8878
1217b490393b5
139925b41cb1
144da6d40b7b
152a26d6c50b
hex17f77541f9

102935904761 has 8 divisors (see below), whose sum is σ = 103090141800. Its totient is φ = 102781719040.

The previous prime is 102935904713. The next prime is 102935904769. The reversal of 102935904761 is 167409539201.

It can be written as a sum of positive squares in 4 ways, for example, as 4060875625 + 98875029136 = 63725^2 + 314444^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102935904761 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102935904769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6086405 + ... + 6103293.

It is an arithmetic number, because the mean of its divisors is an integer number (12886267725).

Almost surely, 2102935904761 is an apocalyptic number.

It is an amenable number.

102935904761 is a deficient number, since it is larger than the sum of its proper divisors (154237039).

102935904761 is an equidigital number, since it uses as much as digits as its factorization.

102935904761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25659.

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 102935904761 in words is "one hundred two billion, nine hundred thirty-five million, nine hundred four thousand, seven hundred sixty-one".

Divisors: 1 761 8009 16889 6094849 12852529 135264001 102935904761