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2863468496460 = 223511131731929119
BaseRepresentation
bin101001101010110100000…
…001011100011001001100
3101010202010001011021100210
4221222310001130121030
5333403340413341320
610031243111322420
7413610263424255
oct51526401343114
911122101137323
102863468496460
11a04432352340
123a2b61980410
1317a0407270a0
149c8421c5b2c
154e7432aa0e0
hex29ab405c64c

2863468496460 has 192 divisors, whose sum is σ = 9473862021120. Its totient is φ = 637071928320.

The previous prime is 2863468496443. The next prime is 2863468496461. The reversal of 2863468496460 is 646948643682.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2863468496391 and 2863468496400.

It is not an unprimeable number, because it can be changed into a prime (2863468496461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519781 + ... + 2448899.

It is an arithmetic number, because the mean of its divisors is an integer number (49343031360).

Almost surely, 22863468496460 is an apocalyptic number.

2863468496460 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 2863468496460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736931010560).

2863468496460 is an abundant number, since it is smaller than the sum of its proper divisors (6610393524660).

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

2863468496460 is a wasteful number, since it uses less digits than its factorization.

2863468496460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929328 (or 1929326 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 66.

The spelling of 2863468496460 in words is "two trillion, eight hundred sixty-three billion, four hundred sixty-eight million, four hundred ninety-six thousand, four hundred sixty".