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214339389372864 = 26327413074223371
BaseRepresentation
bin110000101111000011000111…
…001010100011100111000000
31001002220122102120112111121200
4300233003013022203213000
5211043214032134412424
62035510053420421200
763101336611031430
oct6057030712434700
91032818376474550
10214339389372864
1162327908537048
12200584ab9a7800
13927a16b747242
143ad01206502c0
1519ba6d57168c9
hexc2f0c72a39c0

214339389372864 has 336 divisors, whose sum is σ = 721599798855936. Its totient is φ = 59551544217600.

The previous prime is 214339389372767. The next prime is 214339389372919. The reversal of 214339389372864 is 468273983933412.

214339389372864 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 393 + 8 + 93 + 72 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214339389372792 and 214339389372801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48639099 + ... + 52862469.

It is an arithmetic number, because the mean of its divisors is an integer number (2147618448976).

Almost surely, 2214339389372864 is an apocalyptic number.

214339389372864 is a gapful number since it is divisible by the number (24) 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 214339389372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360799899427968).

214339389372864 is an abundant number, since it is smaller than the sum of its proper divisors (507260409483072).

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

214339389372864 is a wasteful number, since it uses less digits than its factorization.

214339389372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223744 (or 4223731 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 214339389372864 in words is "two hundred fourteen trillion, three hundred thirty-nine billion, three hundred eighty-nine million, three hundred seventy-two thousand, eight hundred sixty-four".