Search a number
-
+
686117308393620 = 223253811762824409
BaseRepresentation
bin1001110000000001010010001…
…0011100001110100010010100
310022222100011200220201120220200
42130000110202130032202110
51204412321221422043440
610431125535022100500
7264343224341660325
oct23400244234164224
93288304626646820
10686117308393620
11189688797601974
1264b5216a41a730
13235ac77a37ab9c
14c16037d6ac44c
15544c7445bbc30
hex270052270e894

686117308393620 has 36 divisors (see below), whose sum is σ = 2081222502127860. Its totient is φ = 182964615571584.

The previous prime is 686117308393597. The next prime is 686117308393631. The reversal of 686117308393620 is 26393803711686.

686117308393620 is a `hidden beast` number, since 6 + 8 + 611 + 7 + 3 + 0 + 8 + 3 + 9 + 3 + 6 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 345144907861776 + 340972400531844 = 18578076^2 + 18465438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905881412025 + ... + 1905881412384.

Almost surely, 2686117308393620 is an apocalyptic number.

686117308393620 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

686117308393620 is an abundant number, since it is smaller than the sum of its proper divisors (1395105193734240).

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

686117308393620 is a wasteful number, since it uses less digits than its factorization.

686117308393620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811762824424 (or 3811762824419 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 686117308393620 in words is "six hundred eighty-six trillion, one hundred seventeen billion, three hundred eight million, three hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3811762824409 7623525648818 11435288473227 15247051297636 19058814122045 22870576946454 34305865419681 38117628244090 45741153892908 57176442366135 68611730839362 76235256488180 114352884732270 137223461678724 171529327098405 228705769464540 343058654196810 686117308393620