Search a number
-
+
6117551072514 = 2327179912881937
BaseRepresentation
bin101100100000101101001…
…1101010110010100000010
3210122211110122121202102200
41121001122131112110002
51300212221033310024
621002210354254030
71200656422100250
oct131013235262402
923584418552380
106117551072514
111a49491107062
12829757587316
13354b6208a33b
1417213bbbb5d0
15a91e8e502c9
hex5905a756502

6117551072514 has 96 divisors (see below), whose sum is σ = 16055484097536. Its totient is φ = 1643395184640.

The previous prime is 6117551072483. The next prime is 6117551072527. The reversal of 6117551072514 is 4152701557116.

6117551072514 is a `hidden beast` number, since 6 + 1 + 1 + 7 + 55 + 10 + 72 + 514 = 666.

It is a super-2 number, since 2×61175510725142 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6117551072514.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681754 + ... + 3563690.

It is an arithmetic number, because the mean of its divisors is an integer number (167244626016).

Almost surely, 26117551072514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117551072514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027742048768).

6117551072514 is an abundant number, since it is smaller than the sum of its proper divisors (9937933025022).

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

6117551072514 is a wasteful number, since it uses less digits than its factorization.

6117551072514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882960 (or 2882957 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 6117551072514 in words is "six trillion, one hundred seventeen billion, five hundred fifty-one million, seventy-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 991 1071 1982 2142 2973 5946 6937 8919 13874 16847 17838 20811 33694 41622 50541 62433 101082 117929 124866 151623 235858 303246 353787 707574 1061361 2122722 2881937 5763874 8645811 17291622 20173559 25937433 40347118 48992929 51874866 60520677 97985858 121041354 146978787 181562031 293957574 342950503 363124062 440936361 685901006 881872722 1028851509 2057703018 2855999567 3086554527 5711999134 6173109054 8567998701 17135997402 19991996969 25703996103 39983993938 48551992639 51407992206 59975990907 97103985278 119951981814 145655977917 179927972721 291311955834 339863948473 359855945442 436967933751 679727896946 873935867502 1019591845419 2039183690838 3058775536257 6117551072514