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5418166768 = 2472194771109
BaseRepresentation
bin1010000101111001…
…01010100111110000
3111222121020101112021
411002330222213300
542044022314033
62253350041224
7251160441400
oct50274524760
914877211467
105418166768
112330460983
121072649214
13684691051
14395834800
1521aa07b2d
hex142f2a9f0

5418166768 has 240 divisors, whose sum is σ = 13434854400. Its totient is φ = 2103252480.

The previous prime is 5418166757. The next prime is 5418166801. The reversal of 5418166768 is 8676618145.

It is a super-2 number, since 2×54181667682 = 58713062251719131648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49707898 + ... + 49708006.

It is an arithmetic number, because the mean of its divisors is an integer number (55978560).

Almost surely, 25418166768 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 5418166768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717427200).

5418166768 is an abundant number, since it is smaller than the sum of its proper divisors (8016687632).

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

5418166768 is a wasteful number, since it uses less digits than its factorization.

5418166768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The square root of 5418166768 is about 73608.1976956371. The cubic root of 5418166768 is about 1756.3758464078.

The spelling of 5418166768 in words is "five billion, four hundred eighteen million, one hundred sixty-six thousand, seven hundred sixty-eight".