Search a number
-
+
665378022528 = 273480112
BaseRepresentation
bin10011010111010111001…
…11101110010010000000
32100121110100010201020000
421223223213232102000
541400143233210103
61225400452120000
766033454605462
oct11535347562200
92317410121200
10665378022528
1123720460257a
12a8b55906000
134a98b66133b
14242c10bc132
15124947e8aa3
hex9aeb9ee480

665378022528 has 120 divisors (see below), whose sum is σ = 1980401423715. Its totient is φ = 221764988160.

The previous prime is 665378022479. The next prime is 665378022539. The reversal of 665378022528 is 825220873566.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

665378022528 is a `hidden beast` number, since 6 + 6 + 5 + 37 + 80 + 2 + 2 + 528 = 666.

665378022528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 332689011264 + 332689011264 = 576792^2 + 576792^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=576792.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 83054043 + ... + 83062053.

Almost surely, 2665378022528 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 665378022528

665378022528 is an abundant number, since it is smaller than the sum of its proper divisors (1315023401187).

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

665378022528 is an frugal number, since it uses more digits than its factorization.

665378022528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 665378022528 in words is "six hundred sixty-five billion, three hundred seventy-eight million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 8011 10368 16022 24033 32044 48066 64088 72099 96132 128176 144198 192264 216297 256352 288396 384528 432594 512704 576792 648891 769056 865188 1025408 1153584 1297782 1538112 1730376 2307168 2595564 3076224 3460752 4614336 5191128 6921504 9228672 10382256 13843008 20764512 27686016 41529024 64176121 83058048 128352242 192528363 256704484 385056726 513408968 577585089 770113452 1026817936 1155170178 1540226904 1732755267 2053635872 2310340356 3080453808 3465510534 4107271744 4620680712 5198265801 6160907616 6931021068 8214543488 9241361424 10396531602 12321815232 13862042136 18482722848 20793063204 24643630464 27724084272 36965445696 41586126408 55448168544 73930891392 83172252816 110896337088 166344505632 221792674176 332689011264 665378022528