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680170967520 = 2535111117115327
BaseRepresentation
bin10011110010111010101…
…10010101000111100000
32102000122021200011211120
421321131112111013200
542120442231430040
61240244412212240
7100066161555132
oct11713526250740
92360567604746
10680170967520
11242505863050
12ab9a3a6a080
134c1a8322b25
1424cc5a05052
1512a5d35d7d0
hex9e5d5951e0

680170967520 has 192 divisors, whose sum is σ = 2339427557376. Its totient is φ = 164740884480.

The previous prime is 680170967519. The next prime is 680170967537. The reversal of 680170967520 is 25769071086.

680170967520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6801709675203 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5840097 + ... + 5955423.

It is an arithmetic number, because the mean of its divisors is an integer number (12184518528).

Almost surely, 2680170967520 is an apocalyptic number.

680170967520 is a gapful number since it is divisible by the number (60) 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 680170967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169713778688).

680170967520 is an abundant number, since it is smaller than the sum of its proper divisors (1659256589856).

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

680170967520 is a wasteful number, since it uses less digits than its factorization.

680170967520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116473 (or 116465 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 680170967520 in words is "six hundred eighty billion, one hundred seventy million, nine hundred sixty-seven thousand, five hundred twenty".