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81267229120 = 26572113115199
BaseRepresentation
bin100101110101111100…
…1111000000111000000
321202202122121222112211
41023223321320013000
52312413402312440
6101200022431504
75604610023100
oct1135371700700
9252678558484
1081267229120
1131513261080
1213900292594
13788183782c
143d0d1a9200
1521a9888eea
hex12ebe781c0

81267229120 has 336 divisors, whose sum is σ = 253515571200. Its totient is φ = 24511334400.

The previous prime is 81267229051. The next prime is 81267229129. The reversal of 81267229120 is 2192276218.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81267229129) 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, 5339281 + ... + 5354479.

Almost surely, 281267229120 is an apocalyptic number.

81267229120 is a gapful number since it is divisible by the number (80) 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 81267229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126757785600).

81267229120 is an abundant number, since it is smaller than the sum of its proper divisors (172248342080).

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

81267229120 is a wasteful number, since it uses less digits than its factorization.

81267229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15272 (or 15255 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 81267229120 in words is "eighty-one billion, two hundred sixty-seven million, two hundred twenty-nine thousand, one hundred twenty".