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130362484654080 = 2163257172912809
BaseRepresentation
bin11101101001000001100001…
…100101110000000000000000
3122002120112100200211121220100
4131221001201211300000000
5114041324332032412310
61141131410530042400
736313243616344230
oct3551014145600000
9562515320747810
10130362484654080
11385a0468053a08
1212755158419400
13579818b829493
142429813b6bcc0
1510110626a3ec0
hex769061970000

130362484654080 has 1632 divisors, whose sum is σ = 565762414089600. Its totient is φ = 27075205398528.

The previous prime is 130362484654069. The next prime is 130362484654117. The reversal of 130362484654080 is 80456484263031.

130362484654080 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 62 + 4 + 8 + 465 + 40 + 80 = 666.

130362484654080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10177406716 + ... + 10177419524.

Almost surely, 2130362484654080 is an apocalyptic number.

130362484654080 is a gapful number since it is divisible by the number (10) 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 130362484654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282881207044800).

130362484654080 is an abundant number, since it is smaller than the sum of its proper divisors (435399929435520).

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

130362484654080 is a wasteful number, since it uses less digits than its factorization.

130362484654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 130362484654080 in words is "one hundred thirty trillion, three hundred sixty-two billion, four hundred eighty-four million, six hundred fifty-four thousand, eighty".