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212039616136320 = 273457738004443
BaseRepresentation
bin110000001101100101010001…
…111111111000010010000000
31000210202210022102110101220000
4300031211101333320102000
5210243024113212330240
62030545353242520000
762443233233043660
oct6015452177702200
91023683272411800
10212039616136320
11616205504a1785
121b946846506000
13914133334c33b
143a50ab4c0a1a0
15197a984e1e430
hexc0d951ff8480

212039616136320 has 640 divisors, whose sum is σ = 877262728890240. Its totient is φ = 47802271481856.

The previous prime is 212039616136211. The next prime is 212039616136321. The reversal of 212039616136320 is 23631616930212.

212039616136320 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 9 + 6 + 1 + 6 + 1 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2120396161363202 (a number of 29 digits) contains 22 as substring.

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 (212039616136321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22488019 + ... + 30492461.

It is an arithmetic number, because the mean of its divisors is an integer number (1370723013891).

Almost surely, 2212039616136320 is an apocalyptic number.

212039616136320 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 212039616136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438631364445120).

212039616136320 is an abundant number, since it is smaller than the sum of its proper divisors (665223112753920).

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

212039616136320 is an equidigital number, since it uses as much as digits as its factorization.

212039616136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004554 (or 8004533 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 212039616136320 in words is "two hundred twelve trillion, thirty-nine billion, six hundred sixteen million, one hundred thirty-six thousand, three hundred twenty".