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5003021698272 = 25331321719374761
BaseRepresentation
bin100100011001101101101…
…0101001100010011100000
3122201021200011222022012000
41020303123111030103200
51123432142023321042
614350204554004000
71024312353526113
oct110633325142340
918637604868160
105003021698272
111659851358164
12689751a16600
132a3a24104c00
1413420cbda57a
158a217b4e74c
hex48cdb54c4e0

5003021698272 has 2304 divisors, whose sum is σ = 18774598348800. Its totient is φ = 1285645271040.

The previous prime is 5003021698261. The next prime is 5003021698331. The reversal of 5003021698272 is 2728961203005.

5003021698272 is a `hidden beast` number, since 50 + 0 + 30 + 216 + 98 + 272 = 666.

It is a super-2 number, since 2×50030216982722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82016749122 + ... + 82016749182.

It is an arithmetic number, because the mean of its divisors is an integer number (8148697200).

Almost surely, 25003021698272 is an apocalyptic number.

5003021698272 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 5003021698272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387299174400).

5003021698272 is an abundant number, since it is smaller than the sum of its proper divisors (13771576650528).

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

5003021698272 is a wasteful number, since it uses less digits than its factorization.

5003021698272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5003021698272 in words is "five trillion, three billion, twenty-one million, six hundred ninety-eight thousand, two hundred seventy-two".