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130615978270464 = 28336710312232239
BaseRepresentation
bin11101101100101101100110…
…111111001001111100000000
3122010110202200002210120202000
4131230231212333021330000
5114110003010414123324
61141444052502024000
736340456463465421
oct3554554677117400
9563422602716660
10130615978270464
1138688a1a644925
1212796302a18000
1357b605962b1ab
142437bc0559648
15101794c0689c9
hex76cb66fc9f00

130615978270464 has 576 divisors, whose sum is σ = 396326014156800. Its totient is φ = 42418750353408.

The previous prime is 130615978270409. The next prime is 130615978270507. The reversal of 130615978270464 is 464072879516031.

130615978270464 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 5 + 97 + 82 + 7 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58336746657 + ... + 58336748895.

It is an arithmetic number, because the mean of its divisors is an integer number (688065996800).

It is a 1-persistent number, because it is pandigital, but 2⋅130615978270464 = 261231956540928 is not.

Almost surely, 2130615978270464 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 130615978270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198163007078400).

130615978270464 is an abundant number, since it is smaller than the sum of its proper divisors (265710035886336).

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

130615978270464 is a wasteful number, since it uses less digits than its factorization.

130615978270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 130615978270464 in words is "one hundred thirty trillion, six hundred fifteen billion, nine hundred seventy-eight million, two hundred seventy thousand, four hundred sixty-four".