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1661119992 = 2332721924781
BaseRepresentation
bin110001100000010…
…1010110111111000
311021202200122020200
41203000222313320
511400221314432
6432455322200
756110200300
oct14300526770
94252618220
101661119992
11782728044
123a4380360
132061b574c
1411a884600
159ac73a7c
hex6302adf8

1661119992 has 144 divisors (see below), whose sum is σ = 5509038600. Its totient is φ = 449608320.

The previous prime is 1661119991. The next prime is 1661120009. The reversal of 1661119992 is 2999111661.

1661119992 is a `hidden beast` number, since 16 + 611 + 19 + 9 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661119991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54642 + ... + 79422.

Almost surely, 21661119992 is an apocalyptic number.

1661119992 is a gapful number since it is divisible by the number (12) 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 1661119992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754519300).

1661119992 is an abundant number, since it is smaller than the sum of its proper divisors (3847918608).

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

1661119992 is a wasteful number, since it uses less digits than its factorization.

1661119992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24826 (or 24812 counting only the distinct ones).

The product of its digits is 52488, while the sum is 45.

The square root of 1661119992 is about 40756.8398186120. The cubic root of 1661119992 is about 1184.3143777280.

The spelling of 1661119992 in words is "one billion, six hundred sixty-one million, one hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 24781 33516 49562 67032 74343 99124 148686 173467 198248 223029 297372 346934 446058 470839 520401 594744 693868 892116 941678 1040802 1214269 1387736 1412517 1561203 1784232 1883356 2081604 2428538 2825034 3122406 3295873 3642807 3766712 4163208 4237551 4857076 5650068 6244812 6591746 7285614 8475102 9714152 9887619 10928421 11300136 12489624 13183492 14571228 16950204 19775238 21856842 23071111 26366984 29142456 29662857 33900408 39550476 43713684 46142222 59325714 69213333 79100952 87427368 92284444 118651428 138426666 184568888 207639999 237302856 276853332 415279998 553706664 830559996 1661119992