Search a number
-
+
686133882656640 = 2733511331237839
BaseRepresentation
bin1001110000000010001111111…
…0010110000001011110000000
310022222101202111000010101111000
42130000203332112001132000
51204413104142430003030
610431141315414052000
7264344352145615005
oct23400437626013600
93288352430111430
10686133882656640
11189694822317000
1264b5541504a000
13235b11bc0bb202
14c1610b2a078ac
15544cdb46e9860
hex27008fe581780

686133882656640 has 3072 divisors, whose sum is σ = 2839910347008000. Its totient is φ = 156432616243200.

The previous prime is 686133882656549. The next prime is 686133882656641. The reversal of 686133882656640 is 46656288331686.

686133882656640 is a `hidden beast` number, since 6 + 8 + 6 + 1 + 3 + 38 + 8 + 26 + 566 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686133882656641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 817799621341 + ... + 817799622179.

It is an arithmetic number, because the mean of its divisors is an integer number (924449982750).

Almost surely, 2686133882656640 is an apocalyptic number.

686133882656640 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 686133882656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419955173504000).

686133882656640 is an abundant number, since it is smaller than the sum of its proper divisors (2153776464351360).

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

686133882656640 is a wasteful number, since it uses less digits than its factorization.

686133882656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 686133882656640 in words is "six hundred eighty-six trillion, one hundred thirty-three billion, eight hundred eighty-two million, six hundred fifty-six thousand, six hundred forty".