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5378670000 = 243354111811
BaseRepresentation
bin1010000001001011…
…11111110110110000
3111212211220202011000
411000211333312300
542003414420000
62245415322000
7250200640434
oct50045776660
914784822130
105378670000
112310134420
121061380300
13679442592
143904b29c4
15217305000
hex14097fdb0

5378670000 has 400 divisors, whose sum is σ = 21057759360. Its totient is φ = 1303200000.

The previous prime is 5378669987. The next prime is 5378670023. The reversal of 5378670000 is 768735.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2969095 + ... + 2970905.

Almost surely, 25378670000 is an apocalyptic number.

5378670000 is a gapful number since it is divisible by the number (50) 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 5378670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10528879680).

5378670000 is an abundant number, since it is smaller than the sum of its proper divisors (15679089360).

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

5378670000 is a wasteful number, since it uses less digits than its factorization.

5378670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5378670000 is about 73339.4164143675. The cubic root of 5378670000 is about 1752.0976207568.

The spelling of 5378670000 in words is "five billion, three hundred seventy-eight million, six hundred seventy thousand".