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212131677888 = 263213191579497
BaseRepresentation
bin1100010110010000001…
…0001000011011000000
3202021112211011202221200
43011210002020123000
511433421202143023
6241241342021200
721216551340204
oct3054402103300
9667484152850
10212131677888
1181a67890379
1235142577800
13170088390c0
14a3a53b8b04
1557b8555743
hex31640886c0

212131677888 has 336 divisors, whose sum is σ = 693736199520. Its totient is φ = 61435625472.

The previous prime is 212131677851. The next prime is 212131677889. The reversal of 212131677888 is 888776131212.

It is not an unprimeable number, because it can be changed into a prime (212131677889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22331956 + ... + 22341452.

It is an arithmetic number, because the mean of its divisors is an integer number (2064691070).

Almost surely, 2212131677888 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 212131677888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346868099760).

212131677888 is an abundant number, since it is smaller than the sum of its proper divisors (481604521632).

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

212131677888 is a wasteful number, since it uses less digits than its factorization.

212131677888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704 (or 9691 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 212131677888 in words is "two hundred twelve billion, one hundred thirty-one million, six hundred seventy-seven thousand, eight hundred eighty-eight".