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2540682695012 = 22711171515935419
BaseRepresentation
bin100100111110001100011…
…111010101000101100100
322222212221112201121012112
4210332030133111011210
5313111304232220022
65223101251340152
7351362325403610
oct44761437250544
98885845647175
102540682695012
1189a552167180
123504995b1658
1315577c025237
148ad80bd2340
15461504ec8e2
hex24f8c7d5164

2540682695012 has 192 divisors, whose sum is σ = 5919310172160. Its totient is φ = 923747328000.

The previous prime is 2540682694919. The next prime is 2540682695107. The reversal of 2540682695012 is 2105962860452.

2540682695012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468844439 + ... + 468849857.

It is an arithmetic number, because the mean of its divisors is an integer number (30829740480).

Almost surely, 22540682695012 is an apocalyptic number.

2540682695012 is a gapful number since it is divisible by the number (22) 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 2540682695012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959655086080).

2540682695012 is an abundant number, since it is smaller than the sum of its proper divisors (3378627477148).

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

2540682695012 is a wasteful number, since it uses less digits than its factorization.

2540682695012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 2540682695012 in words is "two trillion, five hundred forty billion, six hundred eighty-two million, six hundred ninety-five thousand, twelve".