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5407913871360 = 2113257111331261
BaseRepresentation
bin100111010110010000011…
…0010010000100000000000
3201010222202211000211000200
41032230200302100200000
51202100401422340420
615300210014245200
71065465101313330
oct116544062204000
921128684024020
105407913871360
1117a553543a610
1273410b4b6800
13302c6c14a910
14149a5c9d30c0
1595a13ca0b90
hex4eb20c90800

5407913871360 has 3456 divisors, whose sum is σ = 26429485904640. Its totient is φ = 987365376000.

The previous prime is 5407913871293. The next prime is 5407913871379. The reversal of 5407913871360 is 631783197045.

5407913871360 is a `hidden beast` number, since 5 + 40 + 7 + 91 + 387 + 136 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5407913871297 and 5407913871306.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 88654325730 + ... + 88654325790.

It is an arithmetic number, because the mean of its divisors is an integer number (7647420690).

Almost surely, 25407913871360 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 5407913871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214742952320).

5407913871360 is an abundant number, since it is smaller than the sum of its proper divisors (21021572033280).

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

5407913871360 is a wasteful number, since it uses less digits than its factorization.

5407913871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 5407913871360 in words is "five trillion, four hundred seven billion, nine hundred thirteen million, eight hundred seventy-one thousand, three hundred sixty".