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5321241200016 = 2433723167127953
BaseRepresentation
bin100110101101111001010…
…1100010000010110010000
3200211201001110002220202000
41031123302230100112100
51144140400221400031
615152313334154000
71056306213623400
oct115336254202620
920751043086660
105321241200016
1117717a8a29815
1271b360ab2900
132c7a38788a81
14145799986800
159363eac43e6
hex4d6f2b10590

5321241200016 has 960 divisors, whose sum is σ = 18780786524160. Its totient is φ = 1436429998080.

The previous prime is 5321241199999. The next prime is 5321241200017. The reversal of 5321241200016 is 6100021421235.

5321241200016 is a `hidden beast` number, since 532 + 1 + 2 + 4 + 120 + 0 + 0 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5321241200017) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 5583673396 + ... + 5583674348.

It is an arithmetic number, because the mean of its divisors is an integer number (19563319296).

Almost surely, 25321241200016 is an apocalyptic number.

5321241200016 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 5321241200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390393262080).

5321241200016 is an abundant number, since it is smaller than the sum of its proper divisors (13459545324144).

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

5321241200016 is a wasteful number, since it uses less digits than its factorization.

5321241200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 5321241200016 in words is "five trillion, three hundred twenty-one billion, two hundred forty-one million, two hundred thousand, sixteen".