Search a number
-
+
385421836928 = 2741563130447
BaseRepresentation
bin1011001101111001110…
…11101000001010000000
31100211211201011221210012
411212330323220022000
522303320442240203
6453021011324052
736563053362602
oct5467473501200
91324751157705
10385421836928
11139502640747
1262844bb0628
132a46430b14b
1414923dc9172
15a05bb5cbd8
hex59bcee8280

385421836928 has 64 divisors (see below), whose sum is σ = 787963317120. Its totient is φ = 187675269120.

The previous prime is 385421836907. The next prime is 385421836939. The reversal of 385421836928 is 829638124583.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2889401 + ... + 3019847.

It is an arithmetic number, because the mean of its divisors is an integer number (12311926830).

Almost surely, 2385421836928 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 385421836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393981658560).

385421836928 is an abundant number, since it is smaller than the sum of its proper divisors (402541480192).

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

385421836928 is a wasteful number, since it uses less digits than its factorization.

385421836928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131065 (or 131053 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 59.

The spelling of 385421836928 in words is "three hundred eighty-five billion, four hundred twenty-one million, eight hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 563 656 1126 1312 2252 2624 4504 5248 9008 18016 23083 36032 46166 72064 92332 130447 184664 260894 369328 521788 738656 1043576 1477312 2087152 2954624 4174304 5348327 8348608 10696654 16697216 21393308 42786616 73441661 85573232 146883322 171146464 293766644 342292928 587533288 684585856 1175066576 2350133152 3011108101 4700266304 6022216202 9400532608 12044432404 24088864808 48177729616 96355459232 192710918464 385421836928