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687266972001 = 3289858011201
BaseRepresentation
bin10100000000001000100…
…11011100000101100001
32102200221211001120000100
422000010103130011201
542230010321101001
61243420500213013
7100440054605631
oct12000423340541
92380854046010
10687266972001
1124551731a265
12b124439a169
134ca694a0a4c
142539a1d26c1
1512d262dd586
hexa0044dc161

687266972001 has 12 divisors (see below), whose sum is σ = 1003873106340. Its totient is φ = 453029913600.

The previous prime is 687266971981. The next prime is 687266972057. The reversal of 687266972001 is 100279662786.

It can be written as a sum of positive squares in 2 ways, for example, as 139110350625 + 548156621376 = 372975^2 + 740376^2 .

It is not a de Polignac number, because 687266972001 - 25 = 687266971969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (687266972071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429004800 + ... + 429006401.

It is an arithmetic number, because the mean of its divisors is an integer number (83656092195).

Almost surely, 2687266972001 is an apocalyptic number.

It is an amenable number.

687266972001 is a deficient number, since it is larger than the sum of its proper divisors (316606134339).

687266972001 is a wasteful number, since it uses less digits than its factorization.

687266972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858011296 (or 858011293 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 687266972001 in words is "six hundred eighty-seven billion, two hundred sixty-six million, nine hundred seventy-two thousand, one".

Divisors: 1 3 9 89 267 801 858011201 2574033603 7722100809 76362996889 229088990667 687266972001