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215216399970 = 2325111396717293
BaseRepresentation
bin1100100001101111100…
…1011010011001100010
3202120111210121220010200
43020123321122121202
512011230344244340
6242511414210030
721356156134065
oct3103371323142
9676453556120
10215216399970
1183300057770
1235863653916
13173aa945140
14a5b8d568dc
1558e9282330
hex321be5a662

215216399970 has 192 divisors, whose sum is σ = 658106152704. Its totient is φ = 48107727360.

The previous prime is 215216399947. The next prime is 215216400013. The reversal of 215216399970 is 79993612512.

215216399970 is a `hidden beast` number, since 2 + 152 + 16 + 399 + 97 + 0 = 666.

215216399970 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 Curzon 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 95 ways as a sum of consecutive naturals, for example, 12436644 + ... + 12453936.

It is an arithmetic number, because the mean of its divisors is an integer number (3427636212).

Almost surely, 2215216399970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215216399970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329053076352).

215216399970 is an abundant number, since it is smaller than the sum of its proper divisors (442889752734).

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

215216399970 is a wasteful number, since it uses less digits than its factorization.

215216399970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297 (or 18294 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 215216399970 in words is "two hundred fifteen billion, two hundred sixteen million, three hundred ninety-nine thousand, nine hundred seventy".