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6045511680 = 21233513292
BaseRepresentation
bin1011010000101011…
…10011000000000000
3120121022200210222000
411220111303000000
544340122333210
62435520144000
7302546000325
oct55025630000
916538623860
106045511680
11262259644a
121208768000
13754642260
14414c98b4c
15255b27ac0
hex168573000

6045511680 has 624 divisors, whose sum is σ = 23971452960. Its totient is φ = 1436811264.

The previous prime is 6045511679. The next prime is 6045511721. The reversal of 6045511680 is 861155406.

6045511680 is a `hidden beast` number, since 60 + 4 + 5 + 511 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×60455116802 = 73096422946032844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 208465906 + ... + 208465934.

It is an arithmetic number, because the mean of its divisors is an integer number (38415790).

Almost surely, 26045511680 is an apocalyptic number.

6045511680 is a gapful number since it is divisible by the number (60) 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 6045511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11985726480).

6045511680 is an abundant number, since it is smaller than the sum of its proper divisors (17925941280).

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

6045511680 is a wasteful number, since it uses less digits than its factorization.

6045511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6045511680 is about 77752.8885637055. Note that the first 3 decimals coincide. The cubic root of 6045511680 is about 1821.7034809574.

The spelling of 6045511680 in words is "six billion, forty-five million, five hundred eleven thousand, six hundred eighty".