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2254678511340 = 22354711315794481
BaseRepresentation
bin100000110011110101010…
…011111100111011101100
321222112201102101201010010
4200303311103330323230
5243420040144330330
64443441321213220
7321616015063413
oct40636523747354
97875642351103
102254678511340
1179a227270932
12304b7b331210
131347cc99c168
147b1ac79847a
153d9b18e73b0
hex20cf54fceec

2254678511340 has 192 divisors, whose sum is σ = 6510049781760. Its totient is φ = 582748078080.

The previous prime is 2254678511321. The next prime is 2254678511377. The reversal of 2254678511340 is 431158764522.

It is a self number, because there is not a number n which added to its sum of digits gives 2254678511340.

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, 503161900 + ... + 503166380.

It is an arithmetic number, because the mean of its divisors is an integer number (33906509280).

Almost surely, 22254678511340 is an apocalyptic number.

2254678511340 is a gapful number since it is divisible by the number (20) 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 2254678511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255024890880).

2254678511340 is an abundant number, since it is smaller than the sum of its proper divisors (4255371270420).

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

2254678511340 is a wasteful number, since it uses less digits than its factorization.

2254678511340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6230 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 2254678511340 in words is "two trillion, two hundred fifty-four billion, six hundred seventy-eight million, five hundred eleven thousand, three hundred forty".