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5463199872 = 27351359229
BaseRepresentation
bin1010001011010000…
…11101000010000000
3112002201222022100000
411011220131002000
542142034343442
62302035200000
7252245301264
oct50550350200
915081868300
105463199872
112353919a19
121085746000
13690aca760
1439b7d80a4
1521e950d4c
hex145a1d080

5463199872 has 384 divisors, whose sum is σ = 17932824000. Its totient is φ = 1645277184.

The previous prime is 5463199871. The next prime is 5463199877. The reversal of 5463199872 is 2789913645.

5463199872 is a `hidden beast` number, since 546 + 3 + 1 + 9 + 98 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (5463199871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23856654 + ... + 23856882.

Almost surely, 25463199872 is an apocalyptic number.

5463199872 is a gapful number since it is divisible by the number (52) 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 5463199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966412000).

5463199872 is an abundant number, since it is smaller than the sum of its proper divisors (12469624128).

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

5463199872 is a wasteful number, since it uses less digits than its factorization.

5463199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 5463199872 is about 73913.4620485335. The cubic root of 5463199872 is about 1761.2284674079.

The spelling of 5463199872 in words is "five billion, four hundred sixty-three million, one hundred ninety-nine thousand, eight hundred seventy-two".