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1445465803716 = 22341119232932003
BaseRepresentation
bin10101000010001100011…
…110011100101111000100
312010011222222220221010000
4111002030132130233010
5142140303221204331
63024012100401300
7206300663415444
oct25021436345704
95104888827100
101445465803716
11508022843590
121b41836a6230
13a63cb1890cc
144dd64a8c124
15278ee90e0e6
hex1508c79cbc4

1445465803716 has 480 divisors, whose sum is σ = 4684156646400. Its totient is φ = 383225230080.

The previous prime is 1445465803669. The next prime is 1445465803741. The reversal of 1445465803716 is 6173085645441.

1445465803716 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 46 + 580 + 3 + 7 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45150571 + ... + 45182573.

It is an arithmetic number, because the mean of its divisors is an integer number (9758659680).

Almost surely, 21445465803716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445465803716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342078323200).

1445465803716 is an abundant number, since it is smaller than the sum of its proper divisors (3238690842684).

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

1445465803716 is a wasteful number, since it uses less digits than its factorization.

1445465803716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32101 (or 32090 counting only the distinct ones).

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

The spelling of 1445465803716 in words is "one trillion, four hundred forty-five billion, four hundred sixty-five million, eight hundred three thousand, seven hundred sixteen".