Search a number
-
+
4562748461440 = 2751317231411493
BaseRepresentation
bin100001001100101100100…
…0000000101000110000000
3121011012020210012112020001
41002121121000011012000
51044224002101231230
613412033034325344
7650435106002341
oct102313100050600
917135223175201
104562748461440
1114aa061612964
1261835b289854
1327135ac27120
1411aba40620c8
157da4a79a0ca
hex42659005180

4562748461440 has 768 divisors, whose sum is σ = 13204066659840. Its totient is φ = 1496029593600.

The previous prime is 4562748461429. The next prime is 4562748461449. The reversal of 4562748461440 is 441648472654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4562748461449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3056093334 + ... + 3056094826.

It is an arithmetic number, because the mean of its divisors is an integer number (17192795130).

Almost surely, 24562748461440 is an apocalyptic number.

4562748461440 is a gapful number since it is divisible by the number (40) 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 4562748461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602033329920).

4562748461440 is an abundant number, since it is smaller than the sum of its proper divisors (8641318198400).

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

4562748461440 is a wasteful number, since it uses less digits than its factorization.

4562748461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 4562748461440 in words is "four trillion, five hundred sixty-two billion, seven hundred forty-eight million, four hundred sixty-one thousand, four hundred forty".