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5104122345 = 325761926177
BaseRepresentation
bin1001100000011101…
…01011100111101001
3111011201022021120100
410300032223213221
540423123403340
62202251020013
7240325216110
oct46016534751
914151267510
105104122345
11218a164733
12ba543a609
136345b684a
14365c46c77
151ed172830
hex1303ab9e9

5104122345 has 48 divisors (see below), whose sum is σ = 10127744640. Its totient is φ = 2329454592.

The previous prime is 5104122329. The next prime is 5104122367. The reversal of 5104122345 is 5432214015.

5104122345 is a `hidden beast` number, since 5 + 10 + 412 + 234 + 5 = 666.

It is not a de Polignac number, because 5104122345 - 24 = 5104122329 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 181897 + ... + 208073.

It is an arithmetic number, because the mean of its divisors is an integer number (210994680).

Almost surely, 25104122345 is an apocalyptic number.

It is an amenable number.

5104122345 is a deficient number, since it is larger than the sum of its proper divisors (5023622295).

5104122345 is a wasteful number, since it uses less digits than its factorization.

5104122345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26814 (or 26811 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5104122345 is about 71443.1406434516. The cubic root of 5104122345 is about 1721.7642732763.

It can be divided in two parts, 5104 and 122345, that added together give a square (127449 = 3572).

The spelling of 5104122345 in words is "five billion, one hundred four million, one hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 619 1857 3095 4333 5571 9285 12999 21665 26177 27855 38997 64995 78531 130885 183239 194985 235593 392655 549717 916195 1177965 1649151 2748585 8245755 16203563 48610689 81017815 113424941 145832067 243053445 340274823 567124705 729160335 1020824469 1701374115 5104122345