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5004053376 = 273759139227
BaseRepresentation
bin1001010100100001…
…11100101110000000
3110220202000020202020
410222100330232000
540222014202001
62144314121440
7235001515620
oct45220745600
913822006666
105004053376
112138726403
12b77a20280
1361994a83a
14356838880
151e44a7736
hex12a43cb80

5004053376 has 256 divisors, whose sum is σ = 15628032000. Its totient is φ = 1389238272.

The previous prime is 5004053371. The next prime is 5004053381. The reversal of 5004053376 is 6733504005.

It is an interprime number because it is at equal distance from previous prime (5004053371) and next prime (5004053381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004053371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22044175 + ... + 22044401.

It is an arithmetic number, because the mean of its divisors is an integer number (61047000).

Almost surely, 25004053376 is an apocalyptic number.

5004053376 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 5004053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016000).

5004053376 is an abundant number, since it is smaller than the sum of its proper divisors (10623978624).

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

5004053376 is a wasteful number, since it uses less digits than its factorization.

5004053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 5004053376 is about 70739.3340087394. The cubic root of 5004053376 is about 1710.4379002319.

The spelling of 5004053376 in words is "five billion, four million, fifty-three thousand, three hundred seventy-six".