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216246021420 = 22351113149169151
BaseRepresentation
bin1100100101100101000…
…1000110110100101100
3202200011120001002020110
43021121101012310230
512020332440141140
6243201514420020
721423530565642
oct3113121066454
9680146032213
10216246021420
1183789272590
1235ab0431610
1317513053bc0
14a6759b5192
155959865380
hex3259446d2c

216246021420 has 192 divisors, whose sum is σ = 716121907200. Its totient is φ = 48065664000.

The previous prime is 216246021403. The next prime is 216246021421. The reversal of 216246021420 is 24120642612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216246021421) 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 63 ways as a sum of consecutive naturals, for example, 1193845 + ... + 1362995.

It is an arithmetic number, because the mean of its divisors is an integer number (3729801600).

Almost surely, 2216246021420 is an apocalyptic number.

216246021420 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 216246021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358060953600).

216246021420 is an abundant number, since it is smaller than the sum of its proper divisors (499875885780).

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

216246021420 is a wasteful number, since it uses less digits than its factorization.

216246021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169336 (or 169334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 216246021420 in words is "two hundred sixteen billion, two hundred forty-six million, twenty-one thousand, four hundred twenty".