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688708124065 = 51310595509601
BaseRepresentation
bin10100000010110100011…
…00111111110110100001
32102211200020211122222201
422001122030333312201
542240433234432230
61244215501133201
7100520554315303
oct12013214776641
92384606748881
10688708124065
11246096866125
12b1586b5a201
134cc38c2a550
1425495777973
1512dacab15ca
hexa05a33fda1

688708124065 has 8 divisors (see below), whose sum is σ = 890022806568. Its totient is φ = 508584460800.

The previous prime is 688708124021. The next prime is 688708124077. The reversal of 688708124065 is 560421807886.

688708124065 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 4 ways, for example, as 9137065744 + 679571058321 = 95588^2 + 824361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 688708124065 - 215 = 688708091297 is a prime.

It is a super-3 number, since 3×6887081240653 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688708123997 and 688708124015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5297754736 + ... + 5297754865.

It is an arithmetic number, because the mean of its divisors is an integer number (111252850821).

Almost surely, 2688708124065 is an apocalyptic number.

688708124065 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

688708124065 is a deficient number, since it is larger than the sum of its proper divisors (201314682503).

688708124065 is a wasteful number, since it uses less digits than its factorization.

688708124065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10595509619.

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 688708124065 in words is "six hundred eighty-eight billion, seven hundred eight million, one hundred twenty-four thousand, sixty-five".

Divisors: 1 5 13 65 10595509601 52977548005 137741624813 688708124065