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553135113440 = 255713122331063
BaseRepresentation
bin10000000110010010110…
…11000000010011100000
31221212201221022010222222
420003021123000103200
533030310042112230
61102035021050212
754651126613460
oct10031133002340
91855657263888
10553135113440
111a3646395698
128b24b9b6968
134021158b0c0
141cab408bba0
15e5c585a6e5
hex80c96c04e0

553135113440 has 192 divisors, whose sum is σ = 1609713616896. Its totient is φ = 174909376512.

The previous prime is 553135113439. The next prime is 553135113449. The reversal of 553135113440 is 44311531355.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 553135113440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553135113449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17791349 + ... + 17822411.

It is an arithmetic number, because the mean of its divisors is an integer number (8383925088).

Almost surely, 2553135113440 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 553135113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804856808448).

553135113440 is an abundant number, since it is smaller than the sum of its proper divisors (1056578503456).

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

553135113440 is a wasteful number, since it uses less digits than its factorization.

553135113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32321 (or 32313 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 553135113440 its reverse (44311531355), we get a palindrome (597446644795).

The spelling of 553135113440 in words is "five hundred fifty-three billion, one hundred thirty-five million, one hundred thirteen thousand, four hundred forty".