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679500810901 = 112531011049077
BaseRepresentation
bin10011110001101010110…
…01111000101010010101
32101221220120122200210001
421320311121320222111
542113104201422101
61240054112331301
7100043443410553
oct11706531705225
92357816580701
10679500810901
112421a1547500
12ab837543b31
134c0cc532353
1424c609d8bd3
1512a1e5d3901
hex9e35678a95

679500810901 has 24 divisors (see below), whose sum is σ = 768516775992. Its totient is φ = 600071472000.

The previous prime is 679500810893. The next prime is 679500810949. The reversal of 679500810901 is 109018005976.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 462576816900 + 216923994001 = 680130^2 + 465751^2 .

It is not a de Polignac number, because 679500810901 - 23 = 679500810893 is a prime.

It is a super-3 number, since 3×6795008109013 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679500810991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123175 + ... + 1172251.

It is an arithmetic number, because the mean of its divisors is an integer number (32021532333).

Almost surely, 2679500810901 is an apocalyptic number.

It is an amenable number.

679500810901 is a deficient number, since it is larger than the sum of its proper divisors (89015965091).

679500810901 is a wasteful number, since it uses less digits than its factorization.

679500810901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049253 (or 1049242 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

It can be divided in two parts, 679500 and 810901, that added together give a triangular number (1490401 = T1726).

The spelling of 679500810901 in words is "six hundred seventy-nine billion, five hundred million, eight hundred ten thousand, nine hundred one".

Divisors: 1 11 53 101 121 583 1111 5353 6413 12221 58883 647713 1049077 11539847 55601081 105956777 126938317 611611891 1165524547 5615709181 6727730801 12820770017 61772800991 679500810901