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5002603632 = 24331319173271
BaseRepresentation
bin1001010100010110…
…11010110001110000
3110220122021121002000
410222023122301300
540221131304012
62144223054000
7234653300145
oct45213326160
913818247060
105002603632
112137926174
12b77441300
136195609c0
1435657c3cc
151e42bcddc
hex12a2dac70

5002603632 has 320 divisors, whose sum is σ = 16432281600. Its totient is φ = 1444469760.

The previous prime is 5002603631. The next prime is 5002603633. The reversal of 5002603632 is 2363062005.

5002603632 is a `hidden beast` number, since 5 + 0 + 0 + 26 + 0 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (5002603631) and next prime (5002603633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5002603596 and 5002603605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002603631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18459657 + ... + 18459927.

It is an arithmetic number, because the mean of its divisors is an integer number (51350880).

Almost surely, 25002603632 is an apocalyptic number.

5002603632 is a gapful number since it is divisible by the number (52) 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 5002603632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216140800).

5002603632 is an abundant number, since it is smaller than the sum of its proper divisors (11429677968).

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

5002603632 is a wasteful number, since it uses less digits than its factorization.

5002603632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5002603632 is about 70729.0861810048. The cubic root of 5002603632 is about 1710.2727050456.

Adding to 5002603632 its reverse (2363062005), we get a palindrome (7365665637).

The spelling of 5002603632 in words is "five billion, two million, six hundred three thousand, six hundred thirty-two".