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5506140564 = 223429586009
BaseRepresentation
bin1010010000011000…
…10000100110010100
3112012201202220220000
411020030100212110
542234032444224
62310211411300
7253306264641
oct51014204624
915181686800
105506140564
1123760889a1
121097bb3b30
13699983952
143a33b4dc8
152235d40c9
hex148310994

5506140564 has 60 divisors (see below), whose sum is σ = 14890514100. Its totient is φ = 1772088192.

The previous prime is 5506140529. The next prime is 5506140581. The reversal of 5506140564 is 4650416055.

5506140564 is a `hidden beast` number, since 5 + 50 + 6 + 1 + 40 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4602536964 + 903603600 = 67842^2 + 30060^2 .

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 283609 + ... + 302400.

It is an arithmetic number, because the mean of its divisors is an integer number (248175235).

Almost surely, 25506140564 is an apocalyptic number.

5506140564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5506140564 is an abundant number, since it is smaller than the sum of its proper divisors (9384373536).

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

5506140564 is a wasteful number, since it uses less digits than its factorization.

5506140564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586054 (or 586043 counting only the distinct ones).

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

The square root of 5506140564 is about 74203.3729961112. The cubic root of 5506140564 is about 1765.8308424263.

It can be divided in two parts, 5506 and 140564, that added together give a triangular number (146070 = T540).

The spelling of 5506140564 in words is "five billion, five hundred six million, one hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 586009 1172018 1758027 2344036 3516054 5274081 7032108 10548162 15822243 16994261 21096324 31644486 33988522 47466729 50982783 63288972 67977044 94933458 101965566 152948349 189866916 203931132 305896698 458845047 611793396 917690094 1376535141 1835380188 2753070282 5506140564