Search a number
-
+
10432385208 = 2332794121997
BaseRepresentation
bin10011011011101000…
…11001000010111000
3222221001101002010100
421231310121002320
5132331142311313
64443110115400
7516344545140
oct115564310270
928831332110
1010432385208
11447389a463
12203194bb60
13ca345a5cb
1470d757920
15410d1c173
hex26dd190b8

10432385208 has 96 divisors (see below), whose sum is σ = 32326500960. Its totient is φ = 2977378560.

The previous prime is 10432385207. The next prime is 10432385231. The reversal of 10432385208 is 80258323401.

10432385208 is a `hidden beast` number, since 10 + 432 + 3 + 8 + 5 + 208 = 666.

It is a super-2 number, since 2×104323852082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432385203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463266 + ... + 485262.

It is an arithmetic number, because the mean of its divisors is an integer number (336734385).

Almost surely, 210432385208 is an apocalyptic number.

10432385208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10432385208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163250480).

10432385208 is an abundant number, since it is smaller than the sum of its proper divisors (21894115752).

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

10432385208 is a wasteful number, since it uses less digits than its factorization.

10432385208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22957 (or 22950 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10432385208 in words is "ten billion, four hundred thirty-two million, three hundred eighty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 941 1882 2823 3764 5646 6587 7528 8469 11292 13174 16938 19761 21997 22584 26348 33876 39522 43994 52696 59283 65991 67752 79044 87988 118566 131982 153979 158088 175976 197973 237132 263964 307958 395946 461937 474264 527928 615916 791892 923874 1231832 1385811 1583784 1847748 2771622 3695496 5543244 11086488 20699177 41398354 62097531 82796708 124195062 144894239 165593416 186292593 248390124 289788478 372585186 434682717 496780248 579576956 745170372 869365434 1159153912 1304048151 1490340744 1738730868 2608096302 3477461736 5216192604 10432385208