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5378766848 = 21173131931
BaseRepresentation
bin1010000001001100…
…10111100000000000
3111212212002122222222
411000212113200000
542003431014343
62245421350212
7250201523000
oct50046274000
914785078888
105378766848
1123101a0164
121061408368
136794776a0
143904da000
15217323a68
hex140997800

5378766848 has 384 divisors, whose sum is σ = 14676480000. Its totient is φ = 1950842880.

The previous prime is 5378766847. The next prime is 5378766871. The reversal of 5378766848 is 8486678735.

It is a super-2 number, since 2×53787668482 = 57862265610287710208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

Its product of digits (54190080) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5378766847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173508593 + ... + 173508623.

It is an arithmetic number, because the mean of its divisors is an integer number (38220000).

Almost surely, 25378766848 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 5378766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240000).

5378766848 is an abundant number, since it is smaller than the sum of its proper divisors (9297713152).

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

5378766848 is a wasteful number, since it uses less digits than its factorization.

5378766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 62.

The square root of 5378766848 is about 73340.0766838977. The cubic root of 5378766848 is about 1752.1081367475.

The spelling of 5378766848 in words is "five billion, three hundred seventy-eight million, seven hundred sixty-six thousand, eight hundred forty-eight".