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5876650080 = 2532571813221
BaseRepresentation
bin1010111100100011…
…01001000001100000
3120011112221202101200
411132101221001200
544013410300310
62411045001200
7265425462420
oct53621510140
916145852350
105876650080
112546241204
1211800b3200
1372866b152
143da6a0480
15245dbe9c0
hex15e469060

5876650080 has 288 divisors, whose sum is σ = 23052714048. Its totient is φ = 1335398400.

The previous prime is 5876650063. The next prime is 5876650139. The reversal of 5876650080 is 800566785.

5876650080 is a `hidden beast` number, since 5 + 8 + 7 + 66 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822870 + ... + 1826090.

It is an arithmetic number, because the mean of its divisors is an integer number (80044146).

Almost surely, 25876650080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5876650080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526357024).

5876650080 is an abundant number, since it is smaller than the sum of its proper divisors (17176063968).

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

5876650080 is a wasteful number, since it uses less digits than its factorization.

5876650080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5876650080 is about 76659.3117631511. The cubic root of 5876650080 is about 1804.5819562203.

The spelling of 5876650080 in words is "five billion, eight hundred seventy-six million, six hundred fifty thousand, eighty".