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215809832385 = 3357228370193
BaseRepresentation
bin1100100011111101000…
…1001011010111000001
3202122001011021101101000
43020333101023113001
512013434304114020
6243050333402213
721406653210540
oct3107721132701
9678034241330
10215809832385
118358502a284
12359aa339369
1317473881594
14a633ab0157
155931404090
hex323f44b5c1

215809832385 has 32 divisors (see below), whose sum is σ = 438470772480. Its totient is φ = 98655922944.

The previous prime is 215809832369. The next prime is 215809832507. The reversal of 215809832385 is 583238908512.

215809832385 is a `hidden beast` number, since 2 + 158 + 0 + 98 + 323 + 85 = 666.

215809832385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 215809832385 - 24 = 215809832369 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 114184152 + ... + 114186041.

It is an arithmetic number, because the mean of its divisors is an integer number (13702211640).

Almost surely, 2215809832385 is an apocalyptic number.

It is an amenable number.

215809832385 is an abundant number, since it is smaller than the sum of its proper divisors (222660940095).

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

215809832385 is a wasteful number, since it uses less digits than its factorization.

215809832385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228370214 (or 228370208 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 215809832385 in words is "two hundred fifteen billion, eight hundred nine million, eight hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 228370193 685110579 1141850965 1598591351 2055331737 3425552895 4795774053 6165995211 7992956755 10276658685 14387322159 23978870265 30829976055 43161966477 71936610795 215809832385