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667110006031 = 72193719366273
BaseRepresentation
bin10011011010100101101…
…10101101110100001111
32100202221001011120221011
421231102312231310033
541412220130143111
61230244402350051
766124415330200
oct11552266556417
92322831146834
10667110006031
11237a132303a7
12a935995b327
134aba6428651
142440712b5a7
15125468b9021
hex9b52dadd0f

667110006031 has 24 divisors (see below), whose sum is σ = 838946989680. Its totient is φ = 527072458752.

The previous prime is 667110006023. The next prime is 667110006047. The reversal of 667110006031 is 130600011766.

It is not a de Polignac number, because 667110006031 - 23 = 667110006023 is a prime.

It is a super-2 number, since 2×6671100060312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 667110005984 and 667110006002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667110006331) 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 23 ways as a sum of consecutive naturals, for example, 9648690 + ... + 9717583.

It is an arithmetic number, because the mean of its divisors is an integer number (34956124570).

Almost surely, 2667110006031 is an apocalyptic number.

667110006031 is a deficient number, since it is larger than the sum of its proper divisors (171836983649).

667110006031 is a wasteful number, since it uses less digits than its factorization.

667110006031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19366343 (or 19366336 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 667110006031 its reverse (130600011766), we get a palindrome (797710017797).

The spelling of 667110006031 in words is "six hundred sixty-seven billion, one hundred ten million, six thousand, thirty-one".

Divisors: 1 7 19 37 49 133 259 703 931 1813 4921 34447 19366273 135563911 367959187 716552101 948947377 2575714309 5015864707 13614489919 18030000163 35111052949 95301429433 667110006031