Search a number
-
+
685540328365620 = 22345713192910183561
BaseRepresentation
bin1001101111011111101100101…
…1110000000101111000110100
310022220022000102012000021110000
42123313323023300011320310
51204323343043030144440
610430004513521431300
7264253440261443310
oct23367731360057064
93286260365007400
10685540328365620
111894860253aa022
1264a7a384a9b530
132356a2389832b0
14c140486834b40
15543c7256a6730
hex26f7ecbc05e34

685540328365620 has 1920 divisors, whose sum is σ = 2910803788569600. Its totient is φ = 130992132096000.

The previous prime is 685540328365609. The next prime is 685540328365631. The reversal of 685540328365620 is 26563823045586.

685540328365620 is a `hidden beast` number, since 6 + 8 + 5 + 5 + 4 + 0 + 32 + 8 + 36 + 562 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (685540328365609) and next prime (685540328365631).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 8204028640 + ... + 8204112200.

It is an arithmetic number, because the mean of its divisors is an integer number (1516043639880).

Almost surely, 2685540328365620 is an apocalyptic number.

685540328365620 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 685540328365620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455401894284800).

685540328365620 is an abundant number, since it is smaller than the sum of its proper divisors (2225263460203980).

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

685540328365620 is a wasteful number, since it uses less digits than its factorization.

685540328365620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83751 (or 83740 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 685540328365620 in words is "six hundred eighty-five trillion, five hundred forty billion, three hundred twenty-eight million, three hundred sixty-five thousand, six hundred twenty".