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5506371684 = 22331121967331
BaseRepresentation
bin1010010000011010…
…01001000001100100
3112012202012122221000
411020031021001210
542234112343214
62310220353300
7253311246522
oct51015110144
915182178830
105506371684
112376226600
1210980a5830
13699a34bc8
143a3435312
1522362c809
hex148349064

5506371684 has 288 divisors, whose sum is σ = 16814604800. Its totient is φ = 1552478400.

The previous prime is 5506371679. The next prime is 5506371713. The reversal of 5506371684 is 4861736055.

5506371684 is a `hidden beast` number, since 5 + 5 + 0 + 637 + 1 + 6 + 8 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16635399 + ... + 16635729.

Almost surely, 25506371684 is an apocalyptic number.

5506371684 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 5506371684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407302400).

5506371684 is an abundant number, since it is smaller than the sum of its proper divisors (11308233116).

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

5506371684 is a wasteful number, since it uses less digits than its factorization.

5506371684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5506371684 is about 74204.9303213742. The cubic root of 5506371684 is about 1765.8555489704.

It can be divided in two parts, 5506371 and 684, that added together give a palindrome (5507055).

The spelling of 5506371684 in words is "five billion, five hundred six million, three hundred seventy-one thousand, six hundred eighty-four".