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6491454144 = 263722392887
BaseRepresentation
bin1100000101110101…
…11011101011000000
3121202101211001000120
412002322323223000
5101243303013034
62552050220240
7316602310200
oct60272735300
917671731016
106491454144
11283129063a
121311b84680
137c5b4b136
144581bc400
1527ed63c49
hex182ebbac0

6491454144 has 168 divisors, whose sum is σ = 20069982720. Its totient is φ = 1846301184.

The previous prime is 6491454133. The next prime is 6491454187. The reversal of 6491454144 is 4414541946.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6491454096 and 6491454105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2247069 + ... + 2249955.

Almost surely, 26491454144 is an apocalyptic number.

6491454144 is a gapful number since it is divisible by the number (64) 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 6491454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034991360).

6491454144 is an abundant number, since it is smaller than the sum of its proper divisors (13578528576).

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

6491454144 is a wasteful number, since it uses less digits than its factorization.

6491454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3138 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 6491454144 is about 80569.5609023656. The cubic root of 6491454144 is about 1865.4373350206.

The spelling of 6491454144 in words is "six billion, four hundred ninety-one million, four hundred fifty-four thousand, one hundred forty-four".