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2540127423096 = 233519122730137
BaseRepresentation
bin100100111101101011011…
…001001000101001111000
322222211111211212212100000
4210331223121020221320
5313104140110014341
65222530214113000
7351342503564214
oct44755331105170
98884454785300
102540127423096
1189a29778916a
1235036364b760
131556c0c8a283
148ad2b16d944
154611b8b78b6
hex24f6b648a78

2540127423096 has 192 divisors, whose sum is σ = 7203493140480. Its totient is φ = 838537816320.

The previous prime is 2540127423079. The next prime is 2540127423103. The reversal of 2540127423096 is 6903247210452.

2540127423096 is a `hidden beast` number, since 2 + 5 + 401 + 2 + 7 + 4 + 230 + 9 + 6 = 666.

2540127423096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84270940 + ... + 84301076.

It is an arithmetic number, because the mean of its divisors is an integer number (37518193440).

Almost surely, 22540127423096 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 2540127423096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601746570240).

2540127423096 is an abundant number, since it is smaller than the sum of its proper divisors (4663365717384).

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

2540127423096 is a wasteful number, since it uses less digits than its factorization.

2540127423096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30576 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2540127423096 in words is "two trillion, five hundred forty billion, one hundred twenty-seven million, four hundred twenty-three thousand, ninety-six".