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1661152451360 = 2551719328111261
BaseRepresentation
bin11000001011000100011…
…001101101101100100000
312212210201120101212210012
4120023010121231230200
5204204020011420420
63311042314024052
7231004622602163
oct30130431555440
95783646355705
101661152451360
11590544286296
12229b38718028
13c0852369cbc
145a586253ada
152d3250cddc5
hex182c466db20

1661152451360 has 192 divisors, whose sum is σ = 4192090658784. Its totient is φ = 619865702400.

The previous prime is 1661152451347. The next prime is 1661152451381. The reversal of 1661152451360 is 631542511661.

It can be written as a sum of positive squares in 16 ways, for example, as 804128279824 + 857024171536 = 896732^2 + 925756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147508130 + ... + 147519390.

Almost surely, 21661152451360 is an apocalyptic number.

1661152451360 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 1661152451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096045329392).

1661152451360 is an abundant number, since it is smaller than the sum of its proper divisors (2530938207424).

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

1661152451360 is a wasteful number, since it uses less digits than its factorization.

1661152451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 1661152451360 in words is "one trillion, six hundred sixty-one billion, one hundred fifty-two million, four hundred fifty-one thousand, three hundred sixty".