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1350845776896 = 210371117615507
BaseRepresentation
bin10011101010000100101…
…011101100010000000000
311210010202202122112122020
4103222010223230100000
5134113013004330041
62512323041041440
7166411134436110
oct23520453542000
94703682575566
101350845776896
11480988251a10
12199977626280
139a4cc157165
144954a35d040
1525212b85866
hex13a84aec400

1350845776896 has 704 divisors, whose sum is σ = 4831780460544. Its totient is φ = 324757094400.

The previous prime is 1350845776807. The next prime is 1350845776937. The reversal of 1350845776896 is 6986775480531.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 1350845776896.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245293375 + ... + 245298881.

Almost surely, 21350845776896 is an apocalyptic number.

1350845776896 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 1350845776896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415890230272).

1350845776896 is an abundant number, since it is smaller than the sum of its proper divisors (3480934683648).

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

1350845776896 is a wasteful number, since it uses less digits than its factorization.

1350845776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 1350845776896 in words is "one trillion, three hundred fifty billion, eight hundred forty-five million, seven hundred seventy-six thousand, eight hundred ninety-six".