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5521688500 = 225311397729
BaseRepresentation
bin1010010010001111…
…00100011110110100
3112020211000211122111
411021013210132310
542302023013000
62311524540404
7253555402126
oct51107443664
915224024574
105521688500
112383938329
1210a1251704
1369cc68803
143a54a1216
15224b55cba
hex1491e47b4

5521688500 has 48 divisors (see below), whose sum is σ = 12166212240. Its totient is φ = 2189107200.

The previous prime is 5521688467. The next prime is 5521688503. The reversal of 5521688500 is 58861255.

It can be written as a sum of positive squares in 8 ways, for example, as 4690058256 + 831630244 = 68484^2 + 28838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5521688503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 105364.

It is an arithmetic number, because the mean of its divisors is an integer number (253462755).

Almost surely, 25521688500 is an apocalyptic number.

5521688500 is a gapful number since it is divisible by the number (50) 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 5521688500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083106120).

5521688500 is an abundant number, since it is smaller than the sum of its proper divisors (6644523740).

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

5521688500 is a wasteful number, since it uses less digits than its factorization.

5521688500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97861 (or 97849 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The square root of 5521688500 is about 74308.0648382125. The cubic root of 5521688500 is about 1767.4913656836.

The spelling of 5521688500 in words is "five billion, five hundred twenty-one million, six hundred eighty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 452 500 565 1130 2260 2825 5650 11300 14125 28250 56500 97729 195458 390916 488645 977290 1954580 2443225 4886450 9772900 11043377 12216125 22086754 24432250 44173508 48864500 55216885 110433770 220867540 276084425 552168850 1104337700 1380422125 2760844250 5521688500