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1285166452416 = 263721131400597
BaseRepresentation
bin10010101100111001111…
…000111100111011000000
311112212020110102011022220
4102230321320330323000
5132024010102434131
62422221453131040
7161564423414100
oct22547170747300
94485213364286
101285166452416
11456043a5a360
121890a7789a80
1394262bbaa52
14462b94d3200
152366ba3ee96
hex12b39e3cec0

1285166452416 has 336 divisors, whose sum is σ = 4454290824192. Its totient is φ = 323040614400.

The previous prime is 1285166452403. The next prime is 1285166452433. The reversal of 1285166452416 is 6142546615821.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3007830 + ... + 3408426.

Almost surely, 21285166452416 is an apocalyptic number.

1285166452416 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 1285166452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227145412096).

1285166452416 is an abundant number, since it is smaller than the sum of its proper divisors (3169124371776).

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

1285166452416 is a wasteful number, since it uses less digits than its factorization.

1285166452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400668 (or 400651 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 1285166452416 in words is "one trillion, two hundred eighty-five billion, one hundred sixty-six million, four hundred fifty-two thousand, four hundred sixteen".