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382713667146 = 232312512732537
BaseRepresentation
bin1011001000110111000…
…00110001111001001010
31100120211222021200020200
411210123200301321022
522232244144322041
6451452150033030
736436000332066
oct5443340617112
91316758250220
10382713667146
111383429846a8
126220a048776
132a122223c15
141474846aaa6
159e4e0121b6
hex591b831e4a

382713667146 has 48 divisors (see below), whose sum is σ = 859372270848. Its totient is φ = 122964120000.

The previous prime is 382713667099. The next prime is 382713667181. The reversal of 382713667146 is 641766317283.

It is a happy number.

382713667146 is a `hidden beast` number, since 3 + 8 + 271 + 366 + 7 + 1 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382713667092 and 382713667101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1226211 + ... + 1506326.

It is an arithmetic number, because the mean of its divisors is an integer number (17903588976).

Almost surely, 2382713667146 is an apocalyptic number.

382713667146 is an abundant number, since it is smaller than the sum of its proper divisors (476658603702).

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

382713667146 is a wasteful number, since it uses less digits than its factorization.

382713667146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732827 (or 2732824 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 382713667146 in words is "three hundred eighty-two billion, seven hundred thirteen million, six hundred sixty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 251 279 502 558 753 1506 2259 4518 7781 15562 23343 46686 70029 140058 2732537 5465074 8197611 16395222 24592833 49185666 84708647 169417294 254125941 508251882 685866787 762377823 1371733574 1524755646 2057600361 4115200722 6172801083 12345602166 21261870397 42523740794 63785611191 127571222382 191356833573 382713667146