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1661713248 = 253131970079
BaseRepresentation
bin110001100001011…
…1011101101100000
311021210210210001010
41203002323231200
511400344310443
6432520140520
756115221016
oct14302735540
94253723033
101661713248
11782aa2838
123a4607740
132063627a0
1411a99a8b6
159ad3e733
hex630bbb60

1661713248 has 96 divisors (see below), whose sum is σ = 4944844800. Its totient is φ = 484379136.

The previous prime is 1661713237. The next prime is 1661713301. The reversal of 1661713248 is 8423171661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16617132482 = 5522581837157419008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11328 + ... + 58751.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 21661713248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472422400).

1661713248 is an abundant number, since it is smaller than the sum of its proper divisors (3283131552).

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

1661713248 is a wasteful number, since it uses less digits than its factorization.

1661713248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70124 (or 70116 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1661713248 is about 40764.1171620336. The cubic root of 1661713248 is about 1184.4553504829.

The spelling of 1661713248 in words is "one billion, six hundred sixty-one million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 70079 140158 210237 280316 420474 560632 840948 911027 1121264 1331501 1681896 1822054 2242528 2663002 2733081 3363792 3644108 3994503 5326004 5466162 6727584 7288216 7989006 10652008 10932324 14576432 15978012 17309513 21304016 21864648 29152864 31956024 34619026 42608032 43729296 51928539 63912048 69238052 87458592 103857078 127824096 138476104 207714156 276952208 415428312 553904416 830856624 1661713248