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1661350096 = 247210919441
BaseRepresentation
bin110001100000110…
…0011000011010000
311021210010022220001
41203001203003100
511400301200341
6432504255344
756112146200
oct14301430320
94253108801
101661350096
11782874a0a
123a4471554
132062663c3
1411a904400
159acbbd31
hex630630d0

1661350096 has 60 divisors (see below), whose sum is σ = 3778941540. Its totient is φ = 705438720.

The previous prime is 1661350051. The next prime is 1661350241. The reversal of 1661350096 is 6900531661.

It can be written as a sum of positive squares in 2 ways, for example, as 763748496 + 897601600 = 27636^2 + 29960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75736 + ... + 95176.

It is an arithmetic number, because the mean of its divisors is an integer number (62982359).

Almost surely, 21661350096 is an apocalyptic number.

1661350096 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 1661350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889470770).

1661350096 is an abundant number, since it is smaller than the sum of its proper divisors (2117591444).

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

1661350096 is a wasteful number, since it uses less digits than its factorization.

1661350096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19559 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 1661350096 is about 40759.6626090060. The cubic root of 1661350096 is about 1184.3690602905.

The spelling of 1661350096 in words is "one billion, six hundred sixty-one million, three hundred fifty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1526 1744 3052 5341 6104 10682 12208 19441 21364 38882 42728 77764 85456 136087 155528 272174 311056 544348 952609 1088696 1905218 2119069 2177392 3810436 4238138 7620872 8476276 14833483 15241744 16952552 29666966 33905104 59333932 103834381 118667864 207668762 237335728 415337524 830675048 1661350096