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1449378717696 = 213377213127
BaseRepresentation
bin10101000101110101101…
…101000010000000000000
312010120002200202120000000
4111011311231002000000
5142221311422431241
63025500240000000
7206466645554100
oct25056555020000
95116080676000
101449378717696
11509750556798
121b4a96000000
13a68a2a39020
1450216613200
1527a7d1d0eb6
hex15175b42000

1449378717696 has 1344 divisors, whose sum is σ = 5488834498560. Its totient is φ = 379243855872.

The previous prime is 1449378717653. The next prime is 1449378717707. The reversal of 1449378717696 is 6967178739441.

1449378717696 is a `hidden beast` number, since 1 + 4 + 493 + 7 + 8 + 71 + 7 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11412430785 + ... + 11412430911.

It is an arithmetic number, because the mean of its divisors is an integer number (4083954240).

Almost surely, 21449378717696 is an apocalyptic number.

1449378717696 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 1449378717696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744417249280).

1449378717696 is an abundant number, since it is smaller than the sum of its proper divisors (4039455780864).

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

1449378717696 is an frugal number, since it uses more digits than its factorization.

1449378717696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 152 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 1449378717696 in words is "one trillion, four hundred forty-nine billion, three hundred seventy-eight million, seven hundred seventeen thousand, six hundred ninety-six".