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5418766080 = 283357131723
BaseRepresentation
bin1010000101111101…
…11100111100000000
3111222122100211122000
411002332330330000
542044201003310
62253410544000
7251165515560
oct50276747400
914878324560
105418766080
112330830182
121072898000
13684840a80
1439594cda0
1521aac54c0
hex142fbcf00

5418766080 has 576 divisors, whose sum is σ = 23680312320. Its totient is φ = 1142636544.

The previous prime is 5418766061. The next prime is 5418766103. The reversal of 5418766080 is 806678145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144099 + ... + 3145821.

Almost surely, 25418766080 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 5418766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11840156160).

5418766080 is an abundant number, since it is smaller than the sum of its proper divisors (18261546240).

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

5418766080 is a wasteful number, since it uses less digits than its factorization.

5418766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5418766080 is about 73612.2685426825. The cubic root of 5418766080 is about 1756.4406025241.

The spelling of 5418766080 in words is "five billion, four hundred eighteen million, seven hundred sixty-six thousand, eighty".