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381321648666 = 232771268315887
BaseRepresentation
bin1011000110010001000…
…10101001101000011010
31100110020221221210212200
411203020202221220122
522221421320224131
6451102102151030
736356335351140
oct5431042515032
91313227853780
10381321648666
11137799147602
1261a9ba22476
1329c5ca0b34a
1414655635590
159dbbbe72e6
hex58c88a9a1a

381321648666 has 96 divisors (see below), whose sum is σ = 957941157888. Its totient is φ = 107367755040.

The previous prime is 381321648637. The next prime is 381321648667. The reversal of 381321648666 is 666846123183.

It is not an unprimeable number, because it can be changed into a prime (381321648667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23994175 + ... + 24010061.

It is an arithmetic number, because the mean of its divisors is an integer number (9978553728).

Almost surely, 2381321648666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381321648666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478970578944).

381321648666 is an abundant number, since it is smaller than the sum of its proper divisors (576619509222).

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

381321648666 is a wasteful number, since it uses less digits than its factorization.

381321648666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18656 (or 18653 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 381321648666 in words is "three hundred eighty-one billion, three hundred twenty-one million, six hundred forty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2683 2982 4473 5366 8049 8946 15887 16098 18781 24147 31774 37562 47661 48294 56343 95322 111209 112686 142983 169029 190493 222418 285966 333627 338058 380986 571479 667254 1000881 1127977 1142958 1333451 1714437 2001762 2255954 2666902 3383931 3428874 4000353 6767862 7895839 8000706 10151793 12001059 15791678 20303586 23687517 24002118 42624821 47375034 71062551 85249642 127874463 142125102 255748926 298373747 383623389 596747494 767246778 895121241 1790242482 2685363723 3026362291 5370727446 6052724582 9079086873 18158173746 21184536037 27237260619 42369072074 54474521238 63553608111 127107216222 190660824333 381321648666