Search a number
-
+
1066166016597 = 3211349308310009
BaseRepresentation
bin11111000001111000111…
…00100101101001010101
310202220221221110022212100
433200330130211221111
5114432002000012342
62133442341512313
7140012405420343
oct17407434455125
93686857408770
101066166016597
11381181a15540
12152768a12699
137970130a956
1439861ba2993
151cb00496e4c
hexf83c725a55

1066166016597 has 48 divisors (see below), whose sum is σ = 1685547864000. Its totient is φ = 644036417280.

The previous prime is 1066166016581. The next prime is 1066166016613. The reversal of 1066166016597 is 7956106616601.

It is a happy number.

1066166016597 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 6 + 0 + 16 + 5 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1066166016581) and next prime (1066166016613).

It is not a de Polignac number, because 1066166016597 - 24 = 1066166016581 is a prime.

It is a super-3 number, since 3×10661660165973 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066166017597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106515729 + ... + 106525737.

It is an arithmetic number, because the mean of its divisors is an integer number (35115580500).

Almost surely, 21066166016597 is an apocalyptic number.

It is an amenable number.

1066166016597 is a deficient number, since it is larger than the sum of its proper divisors (619381847403).

1066166016597 is a wasteful number, since it uses less digits than its factorization.

1066166016597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13458 (or 13455 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1066166016597 in words is "one trillion, sixty-six billion, one hundred sixty-six million, sixteen thousand, five hundred ninety-seven".

Divisors: 1 3 9 11 33 99 349 1047 3083 3141 3839 9249 10009 11517 27747 30027 33913 34551 90081 101739 110099 305217 330297 990891 1075967 3227901 3493141 9683703 10479423 11835637 30857747 31438269 35506911 38424551 92573241 106520733 115273653 277719723 339435217 345820959 1018305651 3054916953 10769353703 32308061109 96924183327 118462890733 355388672199 1066166016597