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5002501400 = 235213247267
BaseRepresentation
bin1001010100010110…
…00001110100011000
3110220122002101211122
410222023001310120
540221120021100
62144220544412
7234652363121
oct45213016430
913818071748
105002501400
112137866386
12b773b2108
13619526300
14356553048
151e429c985
hex12a2c1d18

5002501400 has 216 divisors, whose sum is σ = 13060040220. Its totient is φ = 1780796160.

The previous prime is 5002501391. The next prime is 5002501429. The reversal of 5002501400 is 41052005.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 74664167 + ... + 74664233.

Almost surely, 25002501400 is an apocalyptic number.

5002501400 is a gapful number since it is divisible by the number (50) 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 5002501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530020110).

5002501400 is an abundant number, since it is smaller than the sum of its proper divisors (8057538820).

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

5002501400 is a wasteful number, since it uses less digits than its factorization.

5002501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 5002501400 is about 70728.3634760483. The cubic root of 5002501400 is about 1710.2610547262.

Adding to 5002501400 its reverse (41052005), we get a palindrome (5043553405).

The spelling of 5002501400 in words is "five billion, two million, five hundred one thousand, four hundred".