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212423821856512 = 287317434337643
BaseRepresentation
bin110000010011001011000110…
…011100011000111100000000
31000212010112000101022020010121
4300103023012130120330000
5210320322441343402022
62031442053452510024
762513054221555000
oct6023130634307400
91025115011266117
10212423821856512
1161759489618972
121b9a91b017b314
13916b632712286
143a655214ac000
15198596ee0b2c7
hexc132c6718f00

212423821856512 has 576 divisors, whose sum is σ = 537052176460800. Its totient is φ = 83486711218176.

The previous prime is 212423821856509. The next prime is 212423821856549. The reversal of 212423821856512 is 215658128324212.

It is a happy number.

It is a super-2 number, since 2×2124238218565122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212423821856512.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 27793247763 + ... + 27793255405.

It is an arithmetic number, because the mean of its divisors is an integer number (932382250800).

Almost surely, 2212423821856512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212423821856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268526088230400).

212423821856512 is an abundant number, since it is smaller than the sum of its proper divisors (324628354604288).

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

212423821856512 is an equidigital number, since it uses as much as digits as its factorization.

212423821856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8145 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 212423821856512 in words is "two hundred twelve trillion, four hundred twenty-three billion, eight hundred twenty-one million, eight hundred fifty-six thousand, five hundred twelve".