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2893419103848 = 23371319210693433
BaseRepresentation
bin101010000110101101001…
…101111100011001101000
3101020121102100111202210220
4222012231031330121220
5334401210242310343
610053115101010040
7416020423405320
oct52065515743150
911217370452726
102893419103848
11a1610171aa29
123a8920253920
1317cb047b7390
14a0083c54280
15503e78c9183
hex2a1ad37c668

2893419103848 has 384 divisors, whose sum is σ = 9407588601600. Its totient is φ = 722049748992.

The previous prime is 2893419103819. The next prime is 2893419103879. The reversal of 2893419103848 is 8483019143982.

2893419103848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28934191038482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2893419103791 and 2893419103800.

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, 842823540 + ... + 842826972.

It is an arithmetic number, because the mean of its divisors is an integer number (24498928650).

Almost surely, 22893419103848 is an apocalyptic number.

2893419103848 is a gapful number since it is divisible by the number (28) 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 2893419103848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703794300800).

2893419103848 is an abundant number, since it is smaller than the sum of its proper divisors (6514169497752).

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

2893419103848 is a wasteful number, since it uses less digits than its factorization.

2893419103848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 2893419103848 in words is "two trillion, eight hundred ninety-three billion, four hundred nineteen million, one hundred three thousand, eight hundred forty-eight".