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5002419408 = 24372192331157
BaseRepresentation
bin1001010100010101…
…01101110011010000
3110220121221020100220
410222022231303100
540221104410113
62144215113040
7234651602100
oct45212556320
913817836326
105002419408
11213780a818
12b77372780
136194c7bac
14356531200
151e4283523
hex12a2adcd0

5002419408 has 480 divisors, whose sum is σ = 17153187840. Its totient is φ = 1245404160.

The previous prime is 5002419397. The next prime is 5002419413. The reversal of 5002419408 is 8049142005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31862466 + ... + 31862622.

It is an arithmetic number, because the mean of its divisors is an integer number (35735808).

Almost surely, 25002419408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5002419408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576593920).

5002419408 is an abundant number, since it is smaller than the sum of its proper divisors (12150768432).

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

5002419408 is a wasteful number, since it uses less digits than its factorization.

5002419408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 5002419408 is about 70727.7838476507. The cubic root of 5002419408 is about 1710.2517108348.

The spelling of 5002419408 in words is "five billion, two million, four hundred nineteen thousand, four hundred eight".