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1661123436 = 2237371035189
BaseRepresentation
bin110001100000010…
…1011101101101100
311021202200210222020
41203000223231230
511400221422221
6432455350140
756110213320
oct14300535554
94252623866
101661123436
1178272a695
123a4382350
132061b719b
1411a885980
159ac74ac6
hex6302bb6c

1661123436 has 96 divisors (see below), whose sum is σ = 4594437120. Its totient is φ = 457208064.

The previous prime is 1661123417. The next prime is 1661123447. The reversal of 1661123436 is 6343211661.

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

It is a junction number, because it is equal to n+sod(n) for n = 1661123397 and 1661123406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317530 + ... + 322718.

It is an arithmetic number, because the mean of its divisors is an integer number (47858720).

Almost surely, 21661123436 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 1661123436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297218560).

1661123436 is an abundant number, since it is smaller than the sum of its proper divisors (2933313684).

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

1661123436 is a wasteful number, since it uses less digits than its factorization.

1661123436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5341 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1661123436 is about 40756.8820691672. The cubic root of 1661123436 is about 1184.3151962071.

The spelling of 1661123436 in words is "one billion, six hundred sixty-one million, one hundred twenty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 103 111 148 206 222 259 309 412 444 518 618 721 777 1036 1236 1442 1554 2163 2884 3108 3811 4326 5189 7622 8652 10378 11433 15244 15567 20756 22866 26677 31134 36323 45732 53354 62268 72646 80031 106708 108969 145292 160062 191993 217938 320124 383986 435876 534467 575979 767972 1068934 1151958 1343951 1603401 2137868 2303916 2687902 3206802 3741269 4031853 5375804 6413604 7482538 8063706 11223807 14965076 16127412 19775279 22447614 39550558 44895228 59325837 79101116 118651674 138426953 237303348 276853906 415280859 553707812 830561718 1661123436