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28949934034944 = 212351323891093
BaseRepresentation
bin1101001010100011011101…
…00010001101000000000000
310210111120211200022210100000
412211101232202031000000
512243303431103104234
6141323225513200000
76045364232064366
oct645215642150000
9123446750283300
1028949934034944
11925166404863a
1232b6836400000
13131cc75848920
14721281961636
153530c2edc899
hex1a546e88d000

28949934034944 has 1248 divisors, whose sum is σ = 98636446621440. Its totient is φ = 8416939474944.

The previous prime is 28949934034909. The next prime is 28949934034949. The reversal of 28949934034944 is 44943043994982.

It is a happy number.

28949934034944 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 9 + 93 + 40 + 3 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×289499340349442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28949934034949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26486672862 + ... + 26486673954.

It is an arithmetic number, because the mean of its divisors is an integer number (79035614280).

Almost surely, 228949934034944 is an apocalyptic number.

28949934034944 is a gapful number since it is divisible by the number (24) 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 28949934034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49318223310720).

28949934034944 is an abundant number, since it is smaller than the sum of its proper divisors (69686512586496).

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

28949934034944 is a wasteful number, since it uses less digits than its factorization.

28949934034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 28949934034944 in words is "twenty-eight trillion, nine hundred forty-nine billion, nine hundred thirty-four million, thirty-four thousand, nine hundred forty-four".