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16439980955200 = 2652112372295061
BaseRepresentation
bin1110111100111011101100…
…1110011001011001000000
32011012122110112120010122221
43233032323032121121000
54123323040111031300
654544231210540424
73314515024310215
oct357167316313100
964178415503587
1016439980955200
11526917a729200
121a16218437714
1392338bc6b49a
1440b9b0d31b0c
151d799579831a
hexef3bb399640

16439980955200 has 252 divisors, whose sum is σ = 45666221061076. Its totient is φ = 5816600064000.

The previous prime is 16439980955191. The next prime is 16439980955201. The reversal of 16439980955200 is 255908993461.

It can be written as a sum of positive squares in 6 ways, for example, as 1171018322496 + 15268962632704 = 1082136^2 + 3907552^2 .

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (16439980955201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6015670 + ... + 8310730.

Almost surely, 216439980955200 is an apocalyptic number.

16439980955200 is a gapful number since it is divisible by the number (10) 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 16439980955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833110530538).

16439980955200 is an abundant number, since it is smaller than the sum of its proper divisors (29226240105876).

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

16439980955200 is a wasteful number, since it uses less digits than its factorization.

16439980955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295142 (or 2295116 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 16439980955200 in words is "sixteen trillion, four hundred thirty-nine billion, nine hundred eighty million, nine hundred fifty-five thousand, two hundred".