Search a number
-
+
10485173772 = 22323128333199
BaseRepresentation
bin10011100001111011…
…10000111000001100
31000001201201000102100
421300331300320030
5132433201030042
64452233355100
7520555335513
oct116075607014
930051630370
1010485173772
1144a0675277
122047568a90
13cb1381048
1471677967a
1541579824c
hex270f70e0c

10485173772 has 72 divisors (see below), whose sum is σ = 27456665600. Its totient is φ = 3370260960.

The previous prime is 10485173761. The next prime is 10485173773. The reversal of 10485173772 is 27737158401.

It is not an unprimeable number, because it can be changed into a prime (10485173773) 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, 299229 + ... + 332427.

Almost surely, 210485173772 is an apocalyptic number.

10485173772 is a gapful number since it is divisible by the number (12) 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 10485173772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728332800).

10485173772 is an abundant number, since it is smaller than the sum of its proper divisors (16971491828).

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

10485173772 is a wasteful number, since it uses less digits than its factorization.

10485173772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33523 (or 33518 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10485173772 in words is "ten billion, four hundred eighty-five million, one hundred seventy-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 283 372 558 566 849 1116 1132 1698 2547 3396 5094 8773 10188 17546 26319 33199 35092 52638 66398 78957 99597 105276 132796 157914 199194 298791 315828 398388 597582 1029169 1195164 2058338 3087507 4116676 6175014 9262521 9395317 12350028 18525042 18790634 28185951 37050084 37581268 56371902 84557853 112743804 169115706 291254827 338231412 582509654 873764481 1165019308 1747528962 2621293443 3495057924 5242586886 10485173772