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104822337984 = 26371355710771
BaseRepresentation
bin110000110011111100…
…1011111000111000000
3101000120020201111100020
41201213321133013000
53204134004303414
6120053230253440
710400411112630
oct1414771370700
9330506644306
10104822337984
1140500527aa1
1218394957280
139b66905680
1451056b66c0
152ad779a7a9
hex1867e5f1c0

104822337984 has 224 divisors, whose sum is σ = 341989111296. Its totient is φ = 27593256960.

The previous prime is 104822337979. The next prime is 104822338003. The reversal of 104822337984 is 489733228401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9726519 + ... + 9737289.

It is an arithmetic number, because the mean of its divisors is an integer number (1526737104).

Almost surely, 2104822337984 is an apocalyptic number.

104822337984 is a gapful number since it is divisible by the number (14) 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 104822337984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170994555648).

104822337984 is an abundant number, since it is smaller than the sum of its proper divisors (237166773312).

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

104822337984 is a wasteful number, since it uses less digits than its factorization.

104822337984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 104822337984 in words is "one hundred four billion, eight hundred twenty-two million, three hundred thirty-seven thousand, nine hundred eighty-four".