Search a number
-
+
6664751145 = 3351317297703
BaseRepresentation
bin1100011010100000…
…00000100000101001
3122012110220102211000
412031100000200221
5102122134014040
63021200425213
7324105310233
oct61520004051
918173812730
106664751145
1129100951a8
121360018209
13822a16040
1447320d253
15290196130
hex18d400829

6664751145 has 128 divisors (see below), whose sum is σ = 13978137600. Its totient is φ = 2981228544.

The previous prime is 6664751143. The next prime is 6664751161. The reversal of 6664751145 is 5411574666.

6664751145 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6664751145 - 21 = 6664751143 is a prime.

It is a super-2 number, since 2×66647511452 = 88837815649557622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6664751145.

It is not an unprimeable number, because it can be changed into a prime (6664751141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 861364 + ... + 869066.

It is an arithmetic number, because the mean of its divisors is an integer number (109204200).

Almost surely, 26664751145 is an apocalyptic number.

6664751145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6664751145 is an abundant number, since it is smaller than the sum of its proper divisors (7313386455).

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

6664751145 is a wasteful number, since it uses less digits than its factorization.

6664751145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7770 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 6664751145 is about 81637.9271233659. The cubic root of 6664751145 is about 1881.8917830047.

The spelling of 6664751145 in words is "six billion, six hundred sixty-four million, seven hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 17 27 29 39 45 51 65 85 87 117 135 145 153 195 221 255 261 351 377 435 459 493 585 663 765 783 1105 1131 1305 1479 1755 1885 1989 2295 2465 3315 3393 3915 4437 5655 5967 6409 7395 7703 9945 10179 13311 16965 19227 22185 23109 29835 32045 38515 50895 57681 66555 69327 96135 100139 115545 130951 173043 207981 223387 288405 300417 346635 392853 500695 654755 670161 865215 901251 1039905 1116935 1178559 1502085 1702363 1964265 2010483 2703753 2904031 3350805 3535677 3797579 4506255 5107089 5892795 6031449 8511815 8712093 10052415 11392737 13518765 14520155 15321267 17678385 18987895 25535445 26136279 30157245 34178211 43560465 45963801 49368527 56963685 76606335 78408837 102534633 130681395 148105581 170891055 229819005 246842635 392044185 444316743 512673165 740527905 1332950229 2221583715 6664751145