Search a number
-
+
66968081368 = 23171314338681
BaseRepresentation
bin111110010111100110…
…111101001111011000
320101212010021000101221
4332113212331033120
52044122312100433
650433102221424
74560350204506
oct762746751730
9211763230357
1066968081368
11264458107a1
1210b8b584874
136413268a66
1433540a1676
151b1e36472d
hexf979bd3d8

66968081368 has 64 divisors (see below), whose sum is σ = 134291092320. Its totient is φ = 31198003200.

The previous prime is 66968081311. The next prime is 66968081371. The reversal of 66968081368 is 86318086966.

It is a super-2 number, since 2×669680813682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7709988 + ... + 7718668.

Almost surely, 266968081368 is an apocalyptic number.

66968081368 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66968081368 is an abundant number, since it is smaller than the sum of its proper divisors (67323010952).

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

66968081368 is a wasteful number, since it uses less digits than its factorization.

66968081368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9264 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 66968081368 in words is "sixty-six billion, nine hundred sixty-eight million, eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 131 136 262 433 524 866 1048 1732 2227 3464 4454 7361 8681 8908 14722 17362 17816 29444 34724 56723 58888 69448 113446 147577 226892 295154 453784 590308 964291 1137211 1180616 1928582 2274422 3758873 3857164 4548844 7517746 7714328 9097688 15035492 19332587 30070984 38665174 63900841 77330348 127801682 154660696 255603364 492412363 511206728 984824726 1969649452 3939298904 8371010171 16742020342 33484040684 66968081368