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1661252898816 = 21232741372
BaseRepresentation
bin11000001011001010011…
…000111001000000000000
312212210222120102010210100
4120023022120321000000
5204204221220230231
63311100303002400
7231010252440000
oct30131230710000
95783876363710
101661252898816
11590595a52a15
12229b66299400
13c086a109374
145a595720000
152d32dd211e6
hex182ca639000

1661252898816 has 585 divisors, whose sum is σ = 5639180700881. Its totient is φ = 471179132928.

The previous prime is 1661252898751. The next prime is 1661252898827. The reversal of 1661252898816 is 6188982521661.

The square root of 1661252898816 is 1288896.

It is a perfect power (a square), and thus also a powerful number.

1661252898816 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 2 + 528 + 98 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 975827865600 + 685425033216 = 987840^2 + 827904^2 .

It is a super-3 number, since 3×16612528988163 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12125933500 + ... + 12125933636.

Almost surely, 21661252898816 is an apocalyptic number.

1661252898816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1661252898816 is the 1288896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661252898816

1661252898816 is an abundant number, since it is smaller than the sum of its proper divisors (3977927802065).

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

1661252898816 is an frugal number, since it uses more digits than its factorization.

1661252898816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 149 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 1661252898816 in words is "one trillion, six hundred sixty-one billion, two hundred fifty-two million, eight hundred ninety-eight thousand, eight hundred sixteen".