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2720464758144 = 27327479704299
BaseRepresentation
bin100111100101101000010…
…101011110010110000000
3100122001222212101200021100
4213211220111132112000
5324033002434230034
65441433025054400
7400355436622350
oct47455025362600
910561885350240
102720464758144
11959819485141
1237b2b2187400
13169700772153
1495957a9ab60
154ab73a07099
hex2796855e580

2720464758144 has 192 divisors, whose sum is σ = 8965457280000. Its totient is φ = 775651838976.

The previous prime is 2720464758127. The next prime is 2720464758157. The reversal of 2720464758144 is 4418574640272.

2720464758144 is a `hidden beast` number, since 2 + 7 + 20 + 4 + 6 + 475 + 8 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3510507 + ... + 4214805.

It is an arithmetic number, because the mean of its divisors is an integer number (46695090000).

Almost surely, 22720464758144 is an apocalyptic number.

2720464758144 is a gapful number since it is divisible by the number (24) 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 2720464758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482728640000).

2720464758144 is an abundant number, since it is smaller than the sum of its proper divisors (6244992521856).

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

2720464758144 is a wasteful number, since it uses less digits than its factorization.

2720464758144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704805 (or 704790 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 2720464758144 in words is "two trillion, seven hundred twenty billion, four hundred sixty-four million, seven hundred fifty-eight thousand, one hundred forty-four".