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68311554768 = 243452709533
BaseRepresentation
bin111111100111101011…
…111001101011010000
320112022202020112110000
4333213223321223100
52104400224223033
651214253410000
74635552430542
oct774753715320
9215282215400
1068311554768
1126a75101196
12112a5499900
1365986b5532
14344069b692
151b9c290a13
hexfe7af9ad0

68311554768 has 50 divisors (see below), whose sum is σ = 197713462034. Its totient is φ = 22770517824.

The previous prime is 68311554761. The next prime is 68311554781. The reversal of 68311554768 is 86745511386.

It is a happy number.

68311554768 is a `hidden beast` number, since 6 + 8 + 3 + 11 + 554 + 76 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35625807504 + 32685747264 = 188748^2 + 180792^2 .

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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68311554761) 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 9 ways as a sum of consecutive naturals, for example, 26353471 + ... + 26356062.

Almost surely, 268311554768 is an apocalyptic number.

It is an amenable number.

68311554768 is an abundant number, since it is smaller than the sum of its proper divisors (129401907266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68311554768 is a wasteful number, since it uses less digits than its factorization.

68311554768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52709553 (or 52709538 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 68311554768 in words is "sixty-eight billion, three hundred eleven million, five hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 52709533 105419066 158128599 210838132 316257198 421676264 474385797 632514396 843352528 948771594 1265028792 1423157391 1897543188 2530057584 2846314782 3795086376 4269472173 5692629564 7590172752 8538944346 11385259128 17077888692 22770518256 34155777384 68311554768