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213109085592 = 2333133137127521
BaseRepresentation
bin1100011001111001001…
…0101001010110011000
3202101001221100020021000
43012132102221112120
511442421411214332
6241522335145000
721253020224304
oct3063622512630
9671057306230
10213109085592
1182419583237
1235375975160
1317133195c60
14a459124d04
155824272b7c
hex319e4a9598

213109085592 has 512 divisors, whose sum is σ = 682485350400. Its totient is φ = 61138022400.

The previous prime is 213109085533. The next prime is 213109085663. The reversal of 213109085592 is 295580901312.

213109085592 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 90 + 8 + 559 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 409038292 + ... + 409038812.

It is an arithmetic number, because the mean of its divisors is an integer number (1332979200).

Almost surely, 2213109085592 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 213109085592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341242675200).

213109085592 is an abundant number, since it is smaller than the sum of its proper divisors (469376264808).

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

213109085592 is a wasteful number, since it uses less digits than its factorization.

213109085592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 213109085592 in words is "two hundred thirteen billion, one hundred nine million, eighty-five thousand, five hundred ninety-two".