Search a number
-
+
10010606000556 = 22372291787328519
BaseRepresentation
bin1001000110101100011010…
…0111010101100110101100
31022110000010100021220102210
42101223012213111212230
52303003210114004211
633142450420250420
72052146102016600
oct221530647254654
938400110256383
1010010606000556
11320a524125237
121158157840a10
13577cc45628b5
1426873195b500
151255eb1069a6
hex91ac69d59ac

10010606000556 has 144 divisors (see below), whose sum is σ = 28124413228800. Its totient is φ = 2759992728192.

The previous prime is 10010606000539. The next prime is 10010606000567. The reversal of 10010606000556 is 65500060601001.

10010606000556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30307665 + ... + 30636183.

It is an arithmetic number, because the mean of its divisors is an integer number (195308425200).

Almost surely, 210010606000556 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 10010606000556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14062206614400).

10010606000556 is an abundant number, since it is smaller than the sum of its proper divisors (18113807228244).

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

10010606000556 is a wasteful number, since it uses less digits than its factorization.

10010606000556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330356 (or 330347 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 10010606000556 its reverse (65500060601001), we get a palindrome (75510666601557).

The spelling of 10010606000556 in words is "ten trillion, ten billion, six hundred six million, five hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 1787 2436 2842 3574 4263 5361 5684 7148 8526 10722 12509 17052 21444 25018 37527 50036 51823 75054 87563 103646 150108 155469 175126 207292 262689 310938 328519 350252 362761 525378 621876 657038 725522 985557 1050756 1088283 1314076 1451044 1971114 2176566 2299633 2539327 3942228 4353132 4599266 5078654 6898899 7617981 9198532 9527051 10157308 13797798 15235962 16097431 19054102 27595596 28581153 30471924 32194862 38108204 48292293 57162306 64389724 66689357 96584586 114324612 133378714 193169172 200068071 266757428 400136142 466825499 587063453 800272284 933650998 1174126906 1400476497 1761190359 1867301996 2348253812 2800952994 3522380718 4109444171 5601905988 7044761436 8218888342 12328332513 16437776684 17024840137 24656665026 28766109197 34049680274 49313330052 51074520411 57532218394 68099360548 86298327591 102149040822 115064436788 119173880959 172596655182 204298081644 238347761918 345193310364 357521642877 476695523836 715043285754 834217166713 1430086571508 1668434333426 2502651500139 3336868666852 5005303000278 10010606000556