Search a number
-
+
385648844868 = 2232711326775059
BaseRepresentation
bin1011001110010100111…
…01100110000001000100
31100212102112100011010200
411213022131212001010
522304302101013433
6453055321050500
736601511044410
oct5471235460104
91325375304120
10385648844868
111396097a0111
12628a9026a30
132a49c360581
14149461dbd40
15a071a4e613
hex59ca766044

385648844868 has 144 divisors (see below), whose sum is σ = 1124598034560. Its totient is φ = 109147917312.

The previous prime is 385648844851. The next prime is 385648844887. The reversal of 385648844868 is 868448846583.

385648844868 is a `hidden beast` number, since 3 + 8 + 5 + 64 + 8 + 84 + 486 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 385648844796 and 385648844805.

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 47 ways as a sum of consecutive naturals, for example, 76227723 + ... + 76232781.

Almost surely, 2385648844868 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 385648844868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562299017280).

385648844868 is an abundant number, since it is smaller than the sum of its proper divisors (738949189692).

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

385648844868 is a wasteful number, since it uses less digits than its factorization.

385648844868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7861 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 385648844868 in words is "three hundred eighty-five billion, six hundred forty-eight million, eight hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 2677 3164 4068 4746 5059 5354 7119 8031 9492 10118 10708 14238 15177 16062 18739 20236 24093 28476 30354 32124 35413 37478 45531 48186 56217 60708 70826 74956 91062 96372 106239 112434 141652 168651 182124 212478 224868 302501 318717 337302 424956 571667 605002 637434 674604 907503 1143334 1210004 1274868 1715001 1815006 2117507 2286668 2722509 3430002 3630012 4001669 4235014 5145003 5445018 6352521 6860004 8003338 8470028 10290006 10890036 12005007 12705042 13542943 16006676 19057563 20580012 24010014 25410084 27085886 36015021 38115126 40628829 48020028 54171772 72030042 76230252 81257658 94800601 121886487 144060084 162515316 189601202 243772974 284401803 379202404 487545948 568803606 853205409 1137607212 1530352559 1706410818 3060705118 3412821636 4591057677 6121410236 9182115354 10712467913 13773173031 18364230708 21424935826 27546346062 32137403739 42849871652 55092692124 64274807478 96412211217 128549614956 192824422434 385648844868