Search a number
-
+
10556051112 = 233323292383
BaseRepresentation
bin10011101010011000…
…01000111010101000
31000020200001221212000
421311030020322220
5133104322113422
64503244451000
7522405645135
oct116514107250
930220057760
1010556051112
114527685492
122067249a60
13cc2c68cb9
14721d4958c
1541bae8cac
hex275308ea8

10556051112 has 96 divisors (see below), whose sum is σ = 30653011200. Its totient is φ = 3365661024.

The previous prime is 10556051041. The next prime is 10556051113. The reversal of 10556051112 is 21115065501.

10556051112 is a `hidden beast` number, since 1 + 0 + 55 + 605 + 1 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×105560511122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10556051113) 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, 68073 + ... + 160455.

It is an arithmetic number, because the mean of its divisors is an integer number (319302200).

Almost surely, 210556051112 is an apocalyptic number.

10556051112 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 10556051112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326505600).

10556051112 is an abundant number, since it is smaller than the sum of its proper divisors (20096960088).

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

10556051112 is a wasteful number, since it uses less digits than its factorization.

10556051112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92444 (or 92411 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 10556051112 in words is "ten billion, five hundred fifty-six million, fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 3174 4232 4761 4968 6348 9522 12696 14283 19044 28566 38088 57132 92383 114264 184766 277149 369532 554298 739064 831447 1108596 1662894 2124809 2217192 2494341 3325788 4249618 4988682 6374427 6651576 8499236 9977364 12748854 16998472 19123281 19954728 25497708 38246562 48870607 50995416 57369843 76493124 97741214 114739686 146611821 152986248 195482428 229479372 293223642 390964856 439835463 458958744 586447284 879670926 1172894568 1319506389 1759341852 2639012778 3518683704 5278025556 10556051112