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380664942660 = 22335704935079
BaseRepresentation
bin1011000101000010110…
…01100001000001000100
31100101120012020200121000
411202201121201001010
522214100211131120
6450513002453300
736334142424312
oct5424131410104
91311505220530
10380664942660
11137491488672
1261937b04230
1329b86949c02
14145d232b0b2
159d7e227990
hex58a1661044

380664942660 has 48 divisors (see below), whose sum is σ = 1184290934400. Its totient is φ = 101510651232.

The previous prime is 380664942629. The next prime is 380664942683. The reversal of 380664942660 is 66249466083.

380664942660 is a `hidden beast` number, since 38 + 0 + 66 + 494 + 2 + 6 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 380664942597 and 380664942606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352467000 + ... + 352468079.

It is an arithmetic number, because the mean of its divisors is an integer number (24672727800).

Almost surely, 2380664942660 is an apocalyptic number.

380664942660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380664942660 is an abundant number, since it is smaller than the sum of its proper divisors (803625991740).

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

380664942660 is a wasteful number, since it uses less digits than its factorization.

380664942660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704935097 (or 704935089 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 380664942660 in words is "three hundred eighty billion, six hundred sixty-four million, nine hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 704935079 1409870158 2114805237 2819740316 3524675395 4229610474 6344415711 7049350790 8459220948 10574026185 12688831422 14098701580 19033247133 21148052370 25377662844 31722078555 38066494266 42296104740 63444157110 76132988532 95166235665 126888314220 190332471330 380664942660