Search a number
-
+
1166344245 = 335111747983
BaseRepresentation
bin100010110000101…
…0000000000110101
310000021200102112000
41011201100000311
54342041003440
6311422445513
740621522353
oct10541200065
93007612460
101166344245
11549409770
12286733899
1315783c531
14b0c8c7d3
156c5dd730
hex45850035

1166344245 has 128 divisors (see below), whose sum is σ = 2448506880. Its totient is φ = 520381440.

The previous prime is 1166344219. The next prime is 1166344253. The reversal of 1166344245 is 5424436611.

1166344245 is a `hidden beast` number, since 1 + 16 + 634 + 4 + 2 + 4 + 5 = 666.

It is not a de Polignac number, because 1166344245 - 26 = 1166344181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1186024 + ... + 1187006.

It is an arithmetic number, because the mean of its divisors is an integer number (19128960).

Almost surely, 21166344245 is an apocalyptic number.

1166344245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1166344245 is an abundant number, since it is smaller than the sum of its proper divisors (1282162635).

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

1166344245 is a wasteful number, since it uses less digits than its factorization.

1166344245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1166344245 is about 34151.7824571427. The cubic root of 1166344245 is about 1052.6296129987.

The spelling of 1166344245 in words is "one billion, one hundred sixty-six million, three hundred forty-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 47 51 55 85 99 135 141 153 165 187 235 255 297 423 459 495 517 561 705 765 799 935 983 1269 1485 1551 1683 2115 2295 2397 2585 2805 2949 3995 4653 4915 5049 6345 7191 7755 8415 8789 8847 10813 11985 13959 14745 16711 21573 23265 25245 26367 26541 32439 35955 43945 44235 46201 50133 54065 69795 79101 83555 97317 107865 131835 132705 138603 150399 162195 183821 231005 237303 250665 291951 395505 415809 451197 486585 508211 551463 693015 751995 785417 919105 1186515 1247427 1459755 1524633 1654389 2079045 2255985 2356251 2541055 2757315 3927085 4573899 4963167 6237135 7068753 7623165 8271945 8639587 11781255 13721697 21206259 22869495 24815835 25918761 35343765 43197935 68608485 77756283 106031295 129593805 233268849 388781415 1166344245