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212909067689472 = 2934711712234211
BaseRepresentation
bin110000011010001111000001…
…010110010101111000000000
31000220211220111222221121010000
4300122033001112111320000
5210401300232312030342
62032453024143040000
762563113114233160
oct6032170126257000
91026756458847100
10212909067689472
1161926257201290
121ba67253ba0000
1391a5314c27a9b
143a80bd4dc05a0
1519933c05d944c
hexc1a3c1595e00

212909067689472 has 1600 divisors, whose sum is σ = 807237101518848. Its totient is φ = 54264784896000.

The previous prime is 212909067689413. The next prime is 212909067689519. The reversal of 212909067689472 is 274986760909212.

212909067689472 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 0 + 9 + 0 + 6 + 76 + 89 + 472 = 666.

It is a super-2 number, since 2×2129090676894722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 212909067689472.

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 159 ways as a sum of consecutive naturals, for example, 50560213447 + ... + 50560217657.

Almost surely, 2212909067689472 is an apocalyptic number.

212909067689472 is a gapful number since it is divisible by the number (22) 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 212909067689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403618550759424).

212909067689472 is an abundant number, since it is smaller than the sum of its proper divisors (594328033829376).

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

212909067689472 is a wasteful number, since it uses less digits than its factorization.

212909067689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 212909067689472 in words is "two hundred twelve trillion, nine hundred nine billion, sixty-seven million, six hundred eighty-nine thousand, four hundred seventy-two".