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5153529528 = 23337231113139
BaseRepresentation
bin1001100110010110…
…01001111010111000
3111022011021102111000
410303023021322320
541023300421103
62211214005000
7241465164300
oct46313117270
914264242430
105153529528
112205040014
12bb9aa6760
136418c5174
1436c628600
15202681aa3
hex1332c9eb8

5153529528 has 384 divisors, whose sum is σ = 17466624000. Its totient is φ = 1402168320.

The previous prime is 5153529503. The next prime is 5153529539. The reversal of 5153529528 is 8259253515.

It is a happy number.

5153529528 is a `hidden beast` number, since 5 + 1 + 535 + 2 + 95 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37075683 + ... + 37075821.

It is an arithmetic number, because the mean of its divisors is an integer number (45486000).

Almost surely, 25153529528 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 5153529528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733312000).

5153529528 is an abundant number, since it is smaller than the sum of its proper divisors (12313094472).

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

5153529528 is a wasteful number, since it uses less digits than its factorization.

5153529528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 5153529528 is about 71788.0876469070. The cubic root of 5153529528 is about 1727.3019219247.

The spelling of 5153529528 in words is "five billion, one hundred fifty-three million, five hundred twenty-nine thousand, five hundred twenty-eight".