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1661387094 = 232196197821
BaseRepresentation
bin110001100000110…
…1100000101010110
311021210012012122100
41203001230011112
511400303341334
6432505142530
756112362103
oct14301540526
94253165570
101661387094
1178289a794
123a448aa46
1320627a1b3
1411a913aaa
159acc7c99
hex6306c156

1661387094 has 96 divisors (see below), whose sum is σ = 3895688160. Its totient is φ = 510105600.

The previous prime is 1661387093. The next prime is 1661387099. The reversal of 1661387094 is 4907831661.

It is a happy number.

It is a super-2 number, since 2×16613870942 = 5520414152219529672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661387093) 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 47 ways as a sum of consecutive naturals, for example, 2023204 + ... + 2024024.

It is an arithmetic number, because the mean of its divisors is an integer number (40580085).

Almost surely, 21661387094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661387094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947844080).

1661387094 is an abundant number, since it is smaller than the sum of its proper divisors (2234301066).

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

1661387094 is a wasteful number, since it uses less digits than its factorization.

1661387094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1661387094 is about 40760.1164620515. The cubic root of 1661387094 is about 1184.3778521282.

The spelling of 1661387094 in words is "one billion, six hundred sixty-one million, three hundred eighty-seven thousand, ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 61 97 114 122 171 183 194 291 342 366 549 582 821 873 1098 1159 1642 1746 1843 2318 2463 3477 3686 4926 5529 5917 6954 7389 10431 11058 11834 14778 15599 16587 17751 20862 31198 33174 35502 46797 50081 53253 79637 93594 100162 106506 112423 140391 150243 159274 224846 238911 280782 300486 337269 450729 477822 674538 716733 901458 951539 1011807 1433466 1513103 1903078 2023614 2854617 3026206 4539309 4857857 5709234 8563851 9078618 9715714 13617927 14573571 17127702 27235854 29147142 43720713 87441426 92299283 184598566 276897849 553795698 830693547 1661387094