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382565239020 = 2232519246745343
BaseRepresentation
bin1011001000100101010…
…10100100100011101100
31100120110121222202010200
411210102222210203230
522231443200122040
6451425324433500
736432215610036
oct5442252444354
91316417882120
10382565239020
11138277116428
12621883a8890
132a0ca555623
1414732870c56
159e40e93630
hex5912aa48ec

382565239020 has 144 divisors (see below), whose sum is σ = 1222046192640. Its totient is φ = 96606753408.

The previous prime is 382565239009. The next prime is 382565239027. The reversal of 382565239020 is 20932565283.

382565239020 is a `hidden beast` number, since 3 + 8 + 256 + 5 + 2 + 390 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (382565239027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8414469 + ... + 8459811.

Almost surely, 2382565239020 is an apocalyptic number.

382565239020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382565239020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611023096320).

382565239020 is an abundant number, since it is smaller than the sum of its proper divisors (839480953620).

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

382565239020 is a wasteful number, since it uses less digits than its factorization.

382565239020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47844 (or 47839 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 382565239020 in words is "three hundred eighty-two billion, five hundred sixty-five million, two hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 2467 3420 4934 7401 9868 12335 14802 22203 24670 29604 37005 44406 45343 46873 49340 74010 88812 90686 93746 111015 136029 140619 148020 181372 187492 222030 226715 234365 272058 281238 408087 421857 444060 453430 468730 544116 562476 680145 703095 816174 843714 861517 906860 937460 1360290 1406190 1632348 1687428 1723034 2040435 2109285 2584551 2720580 2812380 3446068 4080870 4218570 4307585 5169102 7753653 8161740 8437140 8615170 10338204 12922755 15507306 17230340 25845510 31014612 38768265 51691020 77536530 111861181 155073060 223722362 335583543 447444724 559305905 671167086 1006750629 1118611810 1342334172 1677917715 2013501258 2125362439 2237223620 3355835430 4027002516 4250724878 5033753145 6376087317 6711670860 8501449756 10067506290 10626812195 12752174634 19128261951 20135012580 21253624390 25504349268 31880436585 38256523902 42507248780 63760873170 76513047804 95641309755 127521746340 191282619510 382565239020