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153444220104 = 233721017271777
BaseRepresentation
bin1000111011100111111…
…1001111110011001000
3112200001210101000122010
42032321333033303020
510003223210020404
6154254042055520
714041330231200
oct2167177176310
9480053330563
10153444220104
115a09129774a
12258a41aa5a0
1311614cb8916
1475d8d8d400
153ed116e189
hex23b9fcfcc8

153444220104 has 192 divisors, whose sum is σ = 451532914560. Its totient is φ = 43323033600.

The previous prime is 153444220103. The next prime is 153444220121. The reversal of 153444220104 is 401022444351.

It is not an unprimeable number, because it can be changed into a prime (153444220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86349264 + ... + 86351040.

It is an arithmetic number, because the mean of its divisors is an integer number (2351733930).

Almost surely, 2153444220104 is an apocalyptic number.

153444220104 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 153444220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225766457280).

153444220104 is an abundant number, since it is smaller than the sum of its proper divisors (298088694456).

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

153444220104 is a wasteful number, since it uses less digits than its factorization.

153444220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 153444220104 its reverse (401022444351), we get a palindrome (554466664455).

The spelling of 153444220104 in words is "one hundred fifty-three billion, four hundred forty-four million, two hundred twenty thousand, one hundred four".