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214343697888 = 253259139151601
BaseRepresentation
bin1100011110011111100…
…0010100010111100000
3202111020222111000221100
43013213320110113200
512002433441313023
6242245041154400
721325431241125
oct3074770242740
9674228430840
10214343697888
11829a247a781
123565b32ba00
131729bbb8888
14a5350a474c
155897848c43
hex31e7e145e0

214343697888 has 288 divisors, whose sum is σ = 629510918400. Its totient is φ = 69154560000.

The previous prime is 214343697877. The next prime is 214343697907. The reversal of 214343697888 is 888796343412.

214343697888 is a `hidden beast` number, since 2 + 1 + 434 + 36 + 97 + 8 + 88 = 666.

214343697888 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356644788 + ... + 356645388.

It is an arithmetic number, because the mean of its divisors is an integer number (2185801800).

Almost surely, 2214343697888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214343697888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314755459200).

214343697888 is an abundant number, since it is smaller than the sum of its proper divisors (415167220512).

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

214343697888 is a wasteful number, since it uses less digits than its factorization.

214343697888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 214343697888 in words is "two hundred fourteen billion, three hundred forty-three million, six hundred ninety-seven thousand, eight hundred eighty-eight".