Search a number
-
+
214936037930880 = 27385737257769
BaseRepresentation
bin110000110111101110110010…
…001100001011011110000000
31001012000200111001001200000000
4300313232302030023132000
5211133003001202242010
62041044130330000000
763162421250062530
oct6067566214133600
91035020431050000
10214936037930880
116253795304a682
1220134064276000
1392c14c5c50886
143b10d617674c0
1519caea621e7c0
hexc37bb230b780

214936037930880 has 2304 divisors, whose sum is σ = 909315674467200. Its totient is φ = 47552535724032.

The previous prime is 214936037930857. The next prime is 214936037930951. The reversal of 214936037930880 is 88039730639412.

214936037930880 is a `hidden beast` number, since 2 + 1 + 493 + 6 + 0 + 37 + 9 + 30 + 8 + 80 = 666.

It is a super-2 number, since 2×2149360379308802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279500699136 + ... + 279500699904.

Almost surely, 2214936037930880 is an apocalyptic number.

214936037930880 is a gapful number since it is divisible by the number (20) 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 214936037930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454657837233600).

214936037930880 is an abundant number, since it is smaller than the sum of its proper divisors (694379636536320).

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

214936037930880 is an frugal number, since it uses more digits than its factorization.

214936037930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1080 counting only the distinct ones).

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

The spelling of 214936037930880 in words is "two hundred fourteen trillion, nine hundred thirty-six billion, thirty-seven million, nine hundred thirty thousand, eight hundred eighty".