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215328084840 = 2332511437916007
BaseRepresentation
bin1100100010001010001…
…1011101001101101000
3202120210120210001222100
43020202203131031220
512011442442203330
6242530444053400
721362013344001
oct3104243351550
9676716701870
10215328084840
11833580aa210
1235894b34260
13173c7b1a36b
14a5c9b0a1a8
155903e94060
hex32228dd368

215328084840 has 384 divisors, whose sum is σ = 791128166400. Its totient is φ = 50338229760.

The previous prime is 215328084821. The next prime is 215328084847. The reversal of 215328084840 is 48480823512.

215328084840 is a `hidden beast` number, since 215 + 3 + 280 + 84 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (215328084847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444117 + ... + 13460123.

It is an arithmetic number, because the mean of its divisors is an integer number (2060229600).

Almost surely, 2215328084840 is an apocalyptic number.

215328084840 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 215328084840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395564083200).

215328084840 is an abundant number, since it is smaller than the sum of its proper divisors (575800081560).

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

215328084840 is a wasteful number, since it uses less digits than its factorization.

215328084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16157 (or 16150 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 215328084840 in words is "two hundred fifteen billion, three hundred twenty-eight million, eighty-four thousand, eight hundred forty".