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812233609880 = 2357211172612137
BaseRepresentation
bin10111101000111001110…
…01010101001010011000
32212122111221211111211212
423310130321111022120
5101301423301004010
61421045053042252
7112452622525100
oct13643471251230
92778457744755
10812233609880
11293514774990
121114bb486388
135b7936355a4
142b452dd4200
15161dc30a505
hexbd1ce55298

812233609880 has 576 divisors, whose sum is σ = 2505165239520. Its totient is φ = 234255974400.

The previous prime is 812233609843. The next prime is 812233609927. The reversal of 812233609880 is 88906332218.

812233609880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8122336098802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 380080172 + ... + 380082308.

Almost surely, 2812233609880 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 812233609880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252582619760).

812233609880 is an abundant number, since it is smaller than the sum of its proper divisors (1692931629640).

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

812233609880 is a wasteful number, since it uses less digits than its factorization.

812233609880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The spelling of 812233609880 in words is "eight hundred twelve billion, two hundred thirty-three million, six hundred nine thousand, eight hundred eighty".