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5158465344 = 263319592663
BaseRepresentation
bin1001100110111011…
…11110111101000000
3111022111120012011000
410303131332331000
541031031342334
62211511452000
7241555142364
oct46335767500
914274505130
105158465344
1122079013aa
12bbb687000
13642932976
1436d1512a4
15202d09299
hex13377ef40

5158465344 has 224 divisors, whose sum is σ = 16239744000. Its totient is φ = 1600777728.

The previous prime is 5158465327. The next prime is 5158465349. The reversal of 5158465344 is 4435648515.

5158465344 is a `hidden beast` number, since 5 + 1 + 584 + 65 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5158465344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158465349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935757 + ... + 1938419.

Almost surely, 25158465344 is an apocalyptic number.

5158465344 is a gapful number since it is divisible by the number (54) 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 5158465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119872000).

5158465344 is an abundant number, since it is smaller than the sum of its proper divisors (11081278656).

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

5158465344 is a wasteful number, since it uses less digits than its factorization.

5158465344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2746 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 5158465344 is about 71822.4571008261. The cubic root of 5158465344 is about 1727.8531896879.

The spelling of 5158465344 in words is "five billion, one hundred fifty-eight million, four hundred sixty-five thousand, three hundred forty-four".