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5530153824 = 253413337487
BaseRepresentation
bin1010010011001111…
…10111001101100000
3112021101221220220000
411021213313031200
542311204410244
62312430220000
7254020350306
oct51147671540
915241856800
105530153824
11238869a468
1210a4054600
136a1940990
143a6666276
15225779169
hex1499f7360

5530153824 has 240 divisors, whose sum is σ = 17603153568. Its totient is φ = 1693052928.

The previous prime is 5530153807. The next prime is 5530153877. The reversal of 5530153824 is 4283510355.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 11355309 + ... + 11355795.

Almost surely, 25530153824 is an apocalyptic number.

5530153824 is a gapful number since it is divisible by the number (54) 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 5530153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801576784).

5530153824 is an abundant number, since it is smaller than the sum of its proper divisors (12072999744).

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

5530153824 is a wasteful number, since it uses less digits than its factorization.

5530153824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5530153824 is about 74365.0040274322. The cubic root of 5530153824 is about 1768.3941539813.

The spelling of 5530153824 in words is "five billion, five hundred thirty million, one hundred fifty-three thousand, eight hundred twenty-four".