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1445346482976 = 2532112312714937
BaseRepresentation
bin10101000010000101010…
…111010001101100100000
312010011200200101210211100
4111002011113101230200
5142140032144423401
63023552155114400
7206265014253534
oct25020527215440
95104620353740
101445346482976
11507a71456100
121b414b742a00
13a63ac53c416
144dd52cabbc4
15278e41deb86
hex150855d1b20

1445346482976 has 432 divisors, whose sum is σ = 4681720802304. Its totient is φ = 422205696000.

The previous prime is 1445346482941. The next prime is 1445346482977. The reversal of 1445346482976 is 6792846435441.

1445346482976 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 3 + 464 + 82 + 97 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1445346482977) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 292755580 + ... + 292760516.

It is an arithmetic number, because the mean of its divisors is an integer number (10837316672).

Almost surely, 21445346482976 is an apocalyptic number.

1445346482976 is a gapful number since it is divisible by the number (16) 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 1445346482976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340860401152).

1445346482976 is an abundant number, since it is smaller than the sum of its proper divisors (3236374319328).

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

1445346482976 is a wasteful number, since it uses less digits than its factorization.

1445346482976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5255 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 1445346482976 in words is "one trillion, four hundred forty-five billion, three hundred forty-six million, four hundred eighty-two thousand, nine hundred seventy-six".