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5193696816 = 24327111989277
BaseRepresentation
bin1001101011001000…
…11000011000110000
3111101221212010122100
410311210120120300
541114041244231
62215210540400
7242463460140
oct46544303060
914357763570
105193696816
112225785320
12100b437700
1364a019ba9
14373ac2920
15205e681e6
hex135918630

5193696816 has 480 divisors, whose sum is σ = 19359475200. Its totient is φ = 1259089920.

The previous prime is 5193696803. The next prime is 5193696881. The reversal of 5193696816 is 6186963915.

5193696816 is a `hidden beast` number, since 519 + 3 + 69 + 68 + 1 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 18749670 + ... + 18749946.

It is an arithmetic number, because the mean of its divisors is an integer number (40332240).

Almost surely, 25193696816 is an apocalyptic number.

5193696816 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 5193696816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679737600).

5193696816 is an abundant number, since it is smaller than the sum of its proper divisors (14165778384).

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

5193696816 is a wasteful number, since it uses less digits than its factorization.

5193696816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 5193696816 is about 72067.3075395494. The cubic root of 5193696816 is about 1731.7779193874. Note that the first 3 decimals are identical.

The spelling of 5193696816 in words is "five billion, one hundred ninety-three million, six hundred ninety-six thousand, eight hundred sixteen".