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5378589216 = 253571113691
BaseRepresentation
bin1010000001001011…
…01100001000100000
3111212211202122100000
411000211230020200
542003404323331
62245413500000
7250200153060
oct50045541040
914784678300
105378589216
112310089760
121061341600
13679414890
143904913a0
152172db0e6
hex14096c220

5378589216 has 576 divisors, whose sum is σ = 21327860736. Its totient is φ = 1287705600.

The previous prime is 5378589143. The next prime is 5378589233. The reversal of 5378589216 is 6129858735.

5378589216 is a `hidden beast` number, since 5 + 37 + 8 + 589 + 21 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783431 + ... + 7784121.

It is an arithmetic number, because the mean of its divisors is an integer number (37027536).

Almost surely, 25378589216 is an apocalyptic number.

5378589216 is a gapful number since it is divisible by the number (56) 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 5378589216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663930368).

5378589216 is an abundant number, since it is smaller than the sum of its proper divisors (15949271520).

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

5378589216 is a wasteful number, since it uses less digits than its factorization.

5378589216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 727 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5378589216 is about 73338.8656579852. The cubic root of 5378589216 is about 1752.0888489376.

The spelling of 5378589216 in words is "five billion, three hundred seventy-eight million, five hundred eighty-nine thousand, two hundred sixteen".