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211932630989376 = 26311531999514259
BaseRepresentation
bin110000001100000001101001…
…001011111011101001000000
31000210101120011110000211102020
4300030001221023323221000
5210234301012013130001
62030424301231521440
762432425110230403
oct6014015113735100
91023346143024366
10211932630989376
116158a140137370
121b929b69389280
13913421363746b
143a498461b7d3a
151977cc2851736
hexc0c0692fba40

211932630989376 has 224 divisors, whose sum is σ = 626388432768000. Its totient is φ = 62693632235520.

The previous prime is 211932630989333. The next prime is 211932630989377. The reversal of 211932630989376 is 673989036239112.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 211932630989376.

It is not an unprimeable number, because it can be changed into a prime (211932630989377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17518135 + ... + 27032393.

It is an arithmetic number, because the mean of its divisors is an integer number (2796376932000).

Almost surely, 2211932630989376 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 211932630989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313194216384000).

211932630989376 is an abundant number, since it is smaller than the sum of its proper divisors (414455801778624).

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

211932630989376 is a wasteful number, since it uses less digits than its factorization.

211932630989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514537 (or 9514527 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 69.

The spelling of 211932630989376 in words is "two hundred eleven trillion, nine hundred thirty-two billion, six hundred thirty million, nine hundred eighty-nine thousand, three hundred seventy-six".