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5538903552 = 293372131737
BaseRepresentation
bin1010010100010010…
…01111011000000000
3112022000102110021000
411022021033120000
542320424403202
62313341532000
7254154621600
oct51211173000
915260373230
105538903552
112392626246
1210a6b74000
136a36b5430
143a78a2c00
1522640691c
hex14a24f600

5538903552 has 960 divisors, whose sum is σ = 22335445440. Its totient is φ = 1337720832.

The previous prime is 5538903551. The next prime is 5538903563. The reversal of 5538903552 is 2553098355.

5538903552 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 90 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5538903498 and 5538903507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538903551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149700078 + ... + 149700114.

It is an arithmetic number, because the mean of its divisors is an integer number (23266089).

Almost surely, 25538903552 is an apocalyptic number.

5538903552 is a gapful number since it is divisible by the number (52) 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 5538903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167722720).

5538903552 is an abundant number, since it is smaller than the sum of its proper divisors (16796541888).

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

5538903552 is a wasteful number, since it uses less digits than its factorization.

5538903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 5538903552 is about 74423.8103835056. The cubic root of 5538903552 is about 1769.3263049446.

The spelling of 5538903552 in words is "five billion, five hundred thirty-eight million, nine hundred three thousand, five hundred fifty-two".