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10327831056 = 2432592694519
BaseRepresentation
bin10011001111001011…
…00011001000010000
3222122202122011210100
421213211203020100
5132122411043211
64424453132400
7513635054424
oct114745431020
928582564710
1010327831056
11441a878374
12200292a100
13c878b0c4a
146dd8dcb84
15406a68156
hex267963210

10327831056 has 120 divisors (see below), whose sum is σ = 29509272000. Its totient is φ = 3370934016.

The previous prime is 10327831051. The next prime is 10327831057. The reversal of 10327831056 is 65013872301.

10327831056 is a `hidden beast` number, since 10 + 327 + 8 + 310 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10327831056.

It is not an unprimeable number, because it can be changed into a prime (10327831051) 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, 2283165 + ... + 2287683.

It is an arithmetic number, because the mean of its divisors is an integer number (245910600).

Almost surely, 210327831056 is an apocalyptic number.

10327831056 is a gapful number since it is divisible by the number (16) 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 10327831056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754636000).

10327831056 is an abundant number, since it is smaller than the sum of its proper divisors (19181440944).

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

10327831056 is a wasteful number, since it uses less digits than its factorization.

10327831056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10327831056 in words is "ten billion, three hundred twenty-seven million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 269 354 472 531 538 708 807 944 1062 1076 1416 1614 2124 2152 2421 2832 3228 4248 4304 4519 4842 6456 8496 9038 9684 12912 13557 15871 18076 19368 27114 31742 36152 38736 40671 47613 54228 63484 72304 81342 95226 108456 126968 142839 162684 190452 216912 253936 266621 285678 325368 380904 533242 571356 650736 761808 799863 1066484 1142712 1215611 1599726 2132968 2285424 2399589 2431222 3199452 3646833 4265936 4799178 4862444 6398904 7293666 9598356 9724888 10940499 12797808 14587332 19196712 19449776 21880998 29174664 38393424 43761996 58349328 71721049 87523992 143442098 175047984 215163147 286884196 430326294 573768392 645489441 860652588 1147536784 1290978882 1721305176 2581957764 3442610352 5163915528 10327831056