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1661646272 = 261113473863
BaseRepresentation
bin110001100001010…
…1011010111000000
311021210200101011112
41203002223113000
511400340140042
6432514502452
756114521526
oct14302532700
94253611145
101661646272
11782a57490
123a4594a28
1320633b160
1411a980316
159ad29982
hex630ab5c0

1661646272 has 112 divisors (see below), whose sum is σ = 3957230592. Its totient is φ = 682183680.

The previous prime is 1661646229. The next prime is 1661646277. The reversal of 1661646272 is 2726461661.

It is a happy number.

It is a super-2 number, since 2×16616462722 = 5522136666502995968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661646277) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 428213 + ... + 432075.

It is an arithmetic number, because the mean of its divisors is an integer number (35332416).

Almost surely, 21661646272 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 1661646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978615296).

1661646272 is an abundant number, since it is smaller than the sum of its proper divisors (2295584320).

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

1661646272 is a wasteful number, since it uses less digits than its factorization.

1661646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3936 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 1661646272 is about 40763.2956469420. The cubic root of 1661646272 is about 1184.4394369576.

The spelling of 1661646272 in words is "one billion, six hundred sixty-one million, six hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 64 88 94 104 143 176 188 208 286 352 376 416 517 572 611 704 752 832 1034 1144 1222 1504 2068 2288 2444 3008 3863 4136 4576 4888 6721 7726 8272 9152 9776 13442 15452 16544 19552 26884 30904 33088 39104 42493 50219 53768 61808 84986 100438 107536 123616 169972 181561 200876 215072 247232 339944 363122 401752 430144 552409 679888 726244 803504 1104818 1359776 1452488 1607008 1997171 2209636 2360293 2719552 2904976 3214016 3994342 4419272 4720586 5809952 7988684 8838544 9441172 11619904 15977368 17677088 18882344 25963223 31954736 35354176 37764688 51926446 63909472 75529376 103852892 127818944 151058752 207705784 415411568 830823136 1661646272