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6460474715264 = 271033591364969
BaseRepresentation
bin101111000000011001001…
…0011001110110010000000
3211212121121120221202120002
41132000302103032302000
51321322023011342024
621423522350135132
71234516405004333
oct136006223166200
924777546852502
106460474715264
112070965609479
128840bbab14a8
1337b2b289970b
1418498d8d861a
15b30b9b056ae
hex5e0324cec80

6460474715264 has 64 divisors (see below), whose sum is σ = 13031641584000. Its totient is φ = 3189962975232.

The previous prime is 6460474715257. The next prime is 6460474715267. The reversal of 6460474715264 is 4625174740646.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6460474715267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4050572 + ... + 5415540.

It is an arithmetic number, because the mean of its divisors is an integer number (203619399750).

Almost surely, 26460474715264 is an apocalyptic number.

6460474715264 is a gapful number since it is divisible by the number (64) 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 6460474715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515820792000).

6460474715264 is an abundant number, since it is smaller than the sum of its proper divisors (6571166868736).

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

6460474715264 is a wasteful number, since it uses less digits than its factorization.

6460474715264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365445 (or 1365433 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 56.

The spelling of 6460474715264 in words is "six trillion, four hundred sixty billion, four hundred seventy-four million, seven hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 359 412 718 824 1436 1648 2872 3296 5744 6592 11488 13184 22976 36977 45952 73954 147908 295816 591632 1183264 1364969 2366528 2729938 4733056 5459876 10919752 21839504 43679008 87358016 140591807 174716032 281183614 490023871 562367228 980047742 1124734456 1960095484 2249468912 3920190968 4498937824 7840381936 8997875648 15680763872 17995751296 31361527744 50472458713 62723055488 100944917426 201889834852 403779669704 807559339408 1615118678816 3230237357632 6460474715264