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67683838676 = 2227761086497
BaseRepresentation
bin111111000010010001…
…010110101011010100
320110201000002020211212
4333002101112223110
52102104030314201
651032111320552
74614161064506
oct770221265324
9213630066755
1067683838676
1126782842863
121114b220158
1364c86343ac
1433c117bd76
151b620eaabb
hexfc2456ad4

67683838676 has 12 divisors (see below), whose sum is σ = 118874325108. Its totient is φ = 33719745792.

The previous prime is 67683838657. The next prime is 67683838751.

67683838676 is nontrivially palindromic in base 10.

67683838676 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 2 ways, for example, as 16621397776 + 51062440900 = 128924^2 + 225970^2 .

It is a super-2 number, since 2×676838386762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30542141 + ... + 30544356.

It is an arithmetic number, because the mean of its divisors is an integer number (9906193759).

Almost surely, 267683838676 is an apocalyptic number.

It is an amenable number.

67683838676 is a deficient number, since it is larger than the sum of its proper divisors (51190486432).

67683838676 is a wasteful number, since it uses less digits than its factorization.

67683838676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61086778 (or 61086776 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 68.

The spelling of 67683838676 in words is "sixty-seven billion, six hundred eighty-three million, eight hundred thirty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 277 554 1108 61086497 122172994 244345988 16920959669 33841919338 67683838676