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59228244990144 = 26322323761711213
BaseRepresentation
bin11010111011110001001101…
…00000001101100011000000
321202201011110020011221102200
431131320212200031203000
530230343421204141034
6325545025150113200
715322046060535426
oct1535704640154300
9252634406157380
1059228244990144
111796561524657a
1267869b74ab800
1327082794c9b49
14108a93b6d5116
156ca9e12bba99
hex35de2680d8c0

59228244990144 has 1008 divisors, whose sum is σ = 188017673223744. Its totient is φ = 17803531468800.

The previous prime is 59228244990137. The next prime is 59228244990149. The reversal of 59228244990144 is 44109944282295.

It is a happy number.

59228244990144 is a `hidden beast` number, since 5 + 9 + 22 + 82 + 4 + 499 + 0 + 1 + 44 = 666.

It is a super-2 number, since 2×592282449901442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (59228244990149) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48827901282 + ... + 48827902494.

It is an arithmetic number, because the mean of its divisors is an integer number (186525469468).

Almost surely, 259228244990144 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 59228244990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94008836611872).

59228244990144 is an abundant number, since it is smaller than the sum of its proper divisors (128789428233600).

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

59228244990144 is a wasteful number, since it uses less digits than its factorization.

59228244990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 59228244990144 in words is "fifty-nine trillion, two hundred twenty-eight billion, two hundred forty-four million, nine hundred ninety thousand, one hundred forty-four".