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212493754368 = 2133272131449
BaseRepresentation
bin1100010111100110011…
…1010110000000000000
3202022111001111011111200
43011321213112000000
511440141400114433
6241341314341200
721231536052600
oct3057147260000
9668431434450
10212493754368
1182133203835
123522388a800
131706586003c
14a3db50ac00
1557da227613
hex31799d6000

212493754368 has 504 divisors, whose sum is σ = 721104298200. Its totient is φ = 60114862080.

The previous prime is 212493754367. The next prime is 212493754373. The reversal of 212493754368 is 863457394212.

212493754368 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 9 + 37 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212493754367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473259808 + ... + 473260256.

Almost surely, 2212493754368 is an apocalyptic number.

212493754368 is a gapful number since it is divisible by the number (28) 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 212493754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360552149100).

212493754368 is an abundant number, since it is smaller than the sum of its proper divisors (508610543832).

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

212493754368 is a wasteful number, since it uses less digits than its factorization.

212493754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 592 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 212493754368 in words is "two hundred twelve billion, four hundred ninety-three million, seven hundred fifty-four thousand, three hundred sixty-eight".