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5087589696 = 263372318287
BaseRepresentation
bin1001011110011111…
…00111010101000000
3111010120012100001000
410233033213111000
540404410332241
62200500412000
7240034541010
oct45717472500
914116170030
105087589696
1121808a2492
12b9b9a7000
13631048707
14363981c40
151eb9a8eb6
hex12f3e7540

5087589696 has 224 divisors, whose sum is σ = 17837383680. Its totient is φ = 1390321152.

The previous prime is 5087589671. The next prime is 5087589713. The reversal of 5087589696 is 6969857805.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269065 + ... + 287351.

Almost surely, 25087589696 is an apocalyptic number.

5087589696 is a gapful number since it is divisible by the number (56) 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 5087589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918691840).

5087589696 is an abundant number, since it is smaller than the sum of its proper divisors (12749793984).

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

5087589696 is a wasteful number, since it uses less digits than its factorization.

5087589696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338 (or 18322 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 5087589696 is about 71327.3418542988. The cubic root of 5087589696 is about 1719.9032864315.

The spelling of 5087589696 in words is "five billion, eighty-seven million, five hundred eighty-nine thousand, six hundred ninety-six".