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212348699318976 = 26311237967255467
BaseRepresentation
bin110000010010000101001000…
…110010101001101011000000
31000211212100002221222220210120
4300102011020302221223000
5210313110114011201401
62031343351252100240
762504454503540403
oct6022051062515300
91024770087886716
10212348699318976
116172a639934600
121b996725904680
13916451cc3412c
143a61a36417d3a
151983a24c3b836
hexc12148ca9ac0

212348699318976 has 336 divisors, whose sum is σ = 634908023194368. Its totient is φ = 62543962736640.

The previous prime is 212348699318927. The next prime is 212348699319041. The reversal of 212348699318976 is 679813996843212.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 831089995 + ... + 831345461.

It is an arithmetic number, because the mean of its divisors is an integer number (1889607211888).

Almost surely, 2212348699318976 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 212348699318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317454011597184).

212348699318976 is an abundant number, since it is smaller than the sum of its proper divisors (422559323875392).

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

212348699318976 is a wasteful number, since it uses less digits than its factorization.

212348699318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256508 (or 256487 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 78.

The spelling of 212348699318976 in words is "two hundred twelve trillion, three hundred forty-eight billion, six hundred ninety-nine million, three hundred eighteen thousand, nine hundred seventy-six".