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689540122065984 = 263731832292413613
BaseRepresentation
bin1001110011001000100001001…
…0000010001011110001000000
310100102110101120200111212110220
42130302020102002023301000
51210334411132222102414
610442310205314023040
7265145426013103650
oct23462102202136100
93312411520455426
10689540122065984
1118a7883616a5722
12654055b3877a80
132379a47baca227
14c23bcc45d2360
1554ab7c34b0ca9
hex273221208bc40

689540122065984 has 896 divisors, whose sum is σ = 2197426278727680. Its totient is φ = 186706811289600.

The previous prime is 689540122065973. The next prime is 689540122066013. The reversal of 689540122065984 is 489560221045986.

It is a super-2 number, since 2×6895401220659842 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190849741362 + ... + 190849744974.

It is an arithmetic number, because the mean of its divisors is an integer number (2452484686080).

Almost surely, 2689540122065984 is an apocalyptic number.

689540122065984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689540122065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098713139363840).

689540122065984 is an abundant number, since it is smaller than the sum of its proper divisors (1507886156661696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

689540122065984 is a wasteful number, since it uses less digits than its factorization.

689540122065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 69.

The spelling of 689540122065984 in words is "six hundred eighty-nine trillion, five hundred forty billion, one hundred twenty-two million, sixty-five thousand, nine hundred eighty-four".