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1450873843560 = 23345191012291019
BaseRepresentation
bin10101000111001110110…
…100011110111101101000
312010200221220002211010000
4111013032310132331220
5142232342200443220
63030304445423000
7206552002121451
oct25071664367550
95120856084100
101450873843560
1150a3485079a9
121b523286aa60
13a6a8071289b
1450319008128
1527b195b6390
hex151ced1ef68

1450873843560 has 640 divisors, whose sum is σ = 5211779760000. Its totient is φ = 360968140800.

The previous prime is 1450873843513. The next prime is 1450873843561. The reversal of 1450873843560 is 653483780541.

1450873843560 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 8 + 7 + 38 + 43 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1450873843497 and 1450873843506.

It is not an unprimeable number, because it can be changed into a prime (1450873843561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1423820731 + ... + 1423821749.

It is an arithmetic number, because the mean of its divisors is an integer number (8143405875).

Almost surely, 21450873843560 is an apocalyptic number.

1450873843560 is a gapful number since it is divisible by the number (10) 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 1450873843560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605889880000).

1450873843560 is an abundant number, since it is smaller than the sum of its proper divisors (3760905916440).

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

1450873843560 is a wasteful number, since it uses less digits than its factorization.

1450873843560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1450873843560 in words is "one trillion, four hundred fifty billion, eight hundred seventy-three million, eight hundred forty-three thousand, five hundred sixty".