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5201878752 = 25337978867
BaseRepresentation
bin1001101100000111…
…00101111011100000
3111102112020211011000
410312003211323200
541123140110002
62220102152000
7242623145160
oct46603457340
914375224130
105201878752
11222a363554
121012122600
1364b923085
14374c125a0
15206a3261c
hex1360e5ee0

5201878752 has 192 divisors, whose sum is σ = 17520330240. Its totient is φ = 1470763008.

The previous prime is 5201878733. The next prime is 5201878763. The reversal of 5201878752 is 2578781025.

5201878752 is a `hidden beast` number, since 520 + 1 + 8 + 78 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5201878698 and 5201878707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582223 + ... + 591089.

It is an arithmetic number, because the mean of its divisors is an integer number (91251720).

Almost surely, 25201878752 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 5201878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760165120).

5201878752 is an abundant number, since it is smaller than the sum of its proper divisors (12318451488).

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

5201878752 is a wasteful number, since it uses less digits than its factorization.

5201878752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5201878752 is about 72124.0511341397. The cubic root of 5201878752 is about 1732.6868327963.

The spelling of 5201878752 in words is "five billion, two hundred one million, eight hundred seventy-eight thousand, seven hundred fifty-two".