Search a number
-
+
620243101566 = 2321123141224057
BaseRepresentation
bin10010000011010010101…
…11101010011101111110
32012021221210211011101200
421001221113222131332
540130224213222231
61152534042120330
762545126242564
oct11015127523576
92167853734350
10620243101566
1121a053074400
12a025a1b00a6
134664780090a
142203c96ba34
1511202108be6
hex90695ea77e

620243101566 has 144 divisors (see below), whose sum is σ = 1561981809024. Its totient is φ = 177452352000.

The previous prime is 620243101549. The next prime is 620243101591. The reversal of 620243101566 is 665101342026.

620243101566 is a `hidden beast` number, since 6 + 202 + 431 + 0 + 15 + 6 + 6 = 666.

It is a super-2 number, since 2×6202431015662 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 620243101566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2656210 + ... + 2880266.

It is an arithmetic number, because the mean of its divisors is an integer number (10847095896).

Almost surely, 2620243101566 is an apocalyptic number.

620243101566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 620243101566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780990904512).

620243101566 is an abundant number, since it is smaller than the sum of its proper divisors (941738707458).

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

620243101566 is a wasteful number, since it uses less digits than its factorization.

620243101566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224159 (or 224145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 620243101566 in words is "six hundred twenty billion, two hundred forty-three million, one hundred one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 41 62 66 82 93 99 121 123 186 198 242 246 279 341 363 369 451 558 682 726 738 902 1023 1089 1271 1353 2046 2178 2542 2706 3069 3751 3813 4059 4961 6138 7502 7626 8118 9922 11253 11439 13981 14883 22506 22878 27962 29766 33759 41943 44649 67518 83886 89298 125829 153791 224057 251658 307582 448114 461373 672171 922746 1344342 1384119 2016513 2464627 2768238 4033026 4929254 6945767 7393881 9186337 13891534 14787762 18372674 20837301 22181643 27110897 27559011 41674602 44363286 54221794 55118022 62511903 76403437 81332691 82677033 101049707 125023806 152806874 162665382 165354066 202099414 229210311 243998073 284776447 303149121 458420622 487996146 569552894 606298242 687630933 840437807 854329341 909447363 1111546777 1375261866 1680875614 1708658682 1818894726 2223093554 2521313421 2562988023 3132540917 3334640331 5042626842 5125976046 6265081834 6669280662 7563940263 9397622751 10003920993 15127880526 18795245502 20007841986 28192868253 34457950087 56385736506 68915900174 103373850261 206747700522 310121550783 620243101566