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5139456053760 = 2932572193159131
BaseRepresentation
bin100101011001001111101…
…1100111101001000000000
3200012022211112021200012100
41022302133130331020000
51133201101222210020
614533011123430400
71040212340442300
oct112623734751000
920168745250170
105139456053760
1117016a3a58856
126b0089525400
132b3858055382
1413aa72a5d600
158da507e8a90
hex4ac9f73d200

5139456053760 has 2880 divisors, whose sum is σ = 23054210150400. Its totient is φ = 1050668236800.

The previous prime is 5139456053731. The next prime is 5139456053821. The reversal of 5139456053760 is 673506549315.

5139456053760 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 4 + 560 + 5 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 5139456053697 and 5139456053706.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39232488895 + ... + 39232489025.

It is an arithmetic number, because the mean of its divisors is an integer number (8004934080).

Almost surely, 25139456053760 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 5139456053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527105075200).

5139456053760 is an abundant number, since it is smaller than the sum of its proper divisors (17914754096640).

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

5139456053760 is a wasteful number, since it uses less digits than its factorization.

5139456053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 5139456053760 in words is "five trillion, one hundred thirty-nine billion, four hundred fifty-six million, fifty-three thousand, seven hundred sixty".