Search a number
-
+
1661761764 = 2233131769623
BaseRepresentation
bin110001100001100…
…0111100011100100
311021210220020121000
41203003013203210
511400402334024
6432521153300
756115512325
oct14303074344
94253806530
101661761764
11783026233
123a462b830
1320637b8b0
1411a9b044c
159ad4dcc9
hex630c78e4

1661761764 has 96 divisors (see below), whose sum is σ = 4912669440. Its totient is φ = 481227264.

The previous prime is 1661761733. The next prime is 1661761807. The reversal of 1661761764 is 4671671661.

1661761764 is a `hidden beast` number, since 16 + 6 + 17 + 617 + 6 + 4 = 666.

It is a super-2 number, since 2×16617617642 = 5522904320584783392, which contains 22 as substring.

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, 10944 + ... + 58679.

It is an arithmetic number, because the mean of its divisors is an integer number (51173640).

Almost surely, 21661761764 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 1661761764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456334720).

1661761764 is an abundant number, since it is smaller than the sum of its proper divisors (3250907676).

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

1661761764 is a wasteful number, since it uses less digits than its factorization.

1661761764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69666 (or 69658 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1661761764 is about 40764.7122398773. The cubic root of 1661761764 is about 1184.4668776375.

The spelling of 1661761764 in words is "one billion, six hundred sixty-one million, seven hundred sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 69623 139246 208869 278492 417738 626607 835476 905099 1183591 1253214 1810198 1879821 2367182 2506428 2715297 3550773 3620396 3759642 4734364 5430594 7101546 7519284 8145891 10652319 10861188 14203092 15386683 16291782 21304638 24437673 30773366 31956957 32583564 42609276 46160049 48875346 61546732 63913914 92320098 97750692 127827828 138480147 184640196 276960294 415440441 553920588 830880882 1661761764