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676642514401 = 7417929843537
BaseRepresentation
bin10011101100010110000…
…10010110010111100001
32101200112101021012002201
421312023002112113201
542041230440430101
61234502325213201
766612555321610
oct11661302262741
92350471235081
10676642514401
11240a65071a97
12ab17a261201
134ba65303649
1424a6d15b877
15129036d0e01
hex9d8b0965e1

676642514401 has 16 divisors (see below), whose sum is σ = 802194301440. Its totient is φ = 558670993920.

The previous prime is 676642514321. The next prime is 676642514417. The reversal of 676642514401 is 104415246676.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 676642514401 - 213 = 676642506209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (676642511401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14899096 + ... + 14944441.

It is an arithmetic number, because the mean of its divisors is an integer number (50137143840).

Almost surely, 2676642514401 is an apocalyptic number.

It is an amenable number.

676642514401 is a deficient number, since it is larger than the sum of its proper divisors (125551787039).

676642514401 is a wasteful number, since it uses less digits than its factorization.

676642514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843664.

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 676642514401 in words is "six hundred seventy-six billion, six hundred forty-two million, five hundred fourteen thousand, four hundred one".

Divisors: 1 7 41 79 287 553 3239 22673 29843537 208904759 1223585017 2357639423 8565095119 16503475961 96663216343 676642514401