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65125360105 = 5139710329161
BaseRepresentation
bin111100101001110001…
…100010000111101001
320020002200212002001021
4330221301202013221
52031334043010410
645530154252441
74463603266351
oct745161420751
9206080762037
1065125360105
112568a627a63
1210756427121
1361ab56b650
14321b467b61
151a626bceda
hexf29c621e9

65125360105 has 16 divisors (see below), whose sum is σ = 85029661584. Its totient is φ = 47596769280.

The previous prime is 65125360099. The next prime is 65125360121. The reversal of 65125360105 is 50106352156.

65125360105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2932980649 + 62192379456 = 54157^2 + 249384^2 .

It is not a de Polignac number, because 65125360105 - 213 = 65125351913 is a prime.

It is a super-2 number, since 2×651253601052 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5158276 + ... + 5170885.

It is an arithmetic number, because the mean of its divisors is an integer number (5314353849).

Almost surely, 265125360105 is an apocalyptic number.

65125360105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

65125360105 is a deficient number, since it is larger than the sum of its proper divisors (19904301479).

65125360105 is a wasteful number, since it uses less digits than its factorization.

65125360105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10329276.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 65125360105 in words is "sixty-five billion, one hundred twenty-five million, three hundred sixty thousand, one hundred five".

Divisors: 1 5 13 65 97 485 1261 6305 10329161 51645805 134279093 671395465 1001928617 5009643085 13025072021 65125360105