Search a number
-
+
68102563599 = 32737107273047
BaseRepresentation
bin111111011011001110…
…101010011100001111
320111210011222200110100
4333123032222130033
52103433224013344
651141430142143
74630434145050
oct773316523417
9214704880410
1068102563599
1126978138014
12112474b1953
136564300915
143420a18727
151b88c5c569
hexfdb3aa70f

68102563599 has 48 divisors (see below), whose sum is σ = 116541255168. Its totient is φ = 37509967296.

The previous prime is 68102563579. The next prime is 68102563631. The reversal of 68102563599 is 99536520186.

It is a happy number.

68102563599 is a `hidden beast` number, since 68 + 10 + 2 + 563 + 5 + 9 + 9 = 666.

It is not a de Polignac number, because 68102563599 - 219 = 68102039311 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68102563519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112894 + ... + 385940.

It is an arithmetic number, because the mean of its divisors is an integer number (2427942816).

Almost surely, 268102563599 is an apocalyptic number.

68102563599 is a deficient number, since it is larger than the sum of its proper divisors (48438691569).

68102563599 is a wasteful number, since it uses less digits than its factorization.

68102563599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273204 (or 273201 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 68102563599 in words is "sixty-eight billion, one hundred two million, five hundred sixty-three thousand, five hundred ninety-nine".

Divisors: 1 3 7 9 21 37 63 107 111 259 321 333 749 777 963 2247 2331 3959 6741 11877 27713 35631 83139 249417 273047 819141 1911329 2457423 5733987 10102739 17201961 29216029 30308217 70719173 87648087 90924651 204512203 212157519 262944261 613536609 636472557 1080993073 1840609827 3242979219 7566951511 9728937657 22700854533 68102563599