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386972866152 = 23342334677489
BaseRepresentation
bin1011010000110010110…
…00010101011001101000
31100222211210201101220000
411220121120111121220
522320010023204102
6453434535303000
736646356042645
oct5503130253150
91328753641800
10386972866152
1113a129104984
1262bb851aa60
132a650759112
1414a2ddb2dcc
15a0ecdd701c
hex5a19615668

386972866152 has 160 divisors (see below), whose sum is σ = 1131484939200. Its totient is φ = 123330594816.

The previous prime is 386972866123. The next prime is 386972866171. The reversal of 386972866152 is 251668279683.

It is a happy number.

386972866152 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 7 + 2 + 8 + 6 + 615 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 386972866152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51668424 + ... + 51675912.

It is an arithmetic number, because the mean of its divisors is an integer number (7071780870).

Almost surely, 2386972866152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386972866152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565742469600).

386972866152 is an abundant number, since it is smaller than the sum of its proper divisors (744512073048).

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

386972866152 is a wasteful number, since it uses less digits than its factorization.

386972866152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10984 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 386972866152 in words is "three hundred eighty-six billion, nine hundred seventy-two million, eight hundred sixty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3467 3726 4968 6934 7452 7489 10401 13868 14904 14978 20802 22467 27736 29956 31203 41604 44934 59912 62406 67401 79741 83208 89868 93609 124812 134802 159482 172247 179736 187218 202203 239223 249624 269604 280827 318964 344494 374436 404406 478446 516741 539208 561654 606609 637928 688988 717669 748872 808812 956892 1033482 1123308 1213218 1377976 1435338 1550223 1617624 1913784 2066964 2153007 2246616 2426436 2870676 3100446 4133928 4306014 4650669 4852872 5741352 6200892 6459021 8612028 9301338 12401784 12918042 13952007 17224056 18602676 25836084 25964363 27904014 37205352 51672168 51928726 55808028 77893089 103857452 111616056 155786178 207714904 233679267 311572356 467358534 597180349 623144712 701037801 934717068 1194360698 1402075602 1791541047 1869434136 2103113403 2388721396 2804151204 3583082094 4206226806 4777442792 5374623141 5608302408 7166164188 8412453612 10749246282 14332328376 16123869423 16824907224 21498492564 32247738846 42996985128 48371608269 64495477692 96743216538 128990955384 193486433076 386972866152