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5721104148480 = 211335723471217
BaseRepresentation
bin101001101000000110001…
…1000010110100000000000
3202020221011120210100101000
41103100030120112200000
51222213310130222410
620100123341012000
71130223202614300
oct123201430264000
922227146710330
105721104148480
111906341163286
12784956254000
133266618acb16
1415ac8d871600
159dc44449dc0
hex5340c616800

5721104148480 has 1152 divisors, whose sum is σ = 23744691734400. Its totient is φ = 1302840999936.

The previous prime is 5721104148469. The next prime is 5721104148503. The reversal of 5721104148480 is 848414011275.

5721104148480 is a `hidden beast` number, since 5 + 7 + 21 + 1 + 0 + 4 + 148 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 4700988832 + ... + 4700990048.

It is an arithmetic number, because the mean of its divisors is an integer number (20611711575).

Almost surely, 25721104148480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5721104148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872345867200).

5721104148480 is an abundant number, since it is smaller than the sum of its proper divisors (18023587585920).

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

5721104148480 is a wasteful number, since it uses less digits than its factorization.

5721104148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 5721104148480 in words is "five trillion, seven hundred twenty-one billion, one hundred four million, one hundred forty-eight thousand, four hundred eighty".