Search a number
-
+
2700510150072 = 2337142911248751
BaseRepresentation
bin100111010011000010111…
…100101011110110111000
3100120011111012021120001010
4213103002330223312320
5323221121044300242
65424333000353520
7366051105351420
oct47230274536670
910504435246033
102700510150072
11951309639809
123774634758a0
131678705cb357
14949c382d480
154a3a6c5589c
hex274c2f2bdb8

2700510150072 has 64 divisors (see below), whose sum is σ = 7721143372800. Its totient is φ = 771034320000.

The previous prime is 2700510150011. The next prime is 2700510150073.

2700510150072 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2700510150073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5384304 + ... + 5864447.

It is an arithmetic number, because the mean of its divisors is an integer number (120642865200).

Almost surely, 22700510150072 is an apocalyptic number.

It is an amenable number.

2700510150072 is an abundant number, since it is smaller than the sum of its proper divisors (5020633222728).

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

2700510150072 is a wasteful number, since it uses less digits than its factorization.

2700510150072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250196 (or 11250192 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

It can be divided in two parts, 2700510 and 150072, that added together give a palindrome (2850582).

The spelling of 2700510150072 in words is "two trillion, seven hundred billion, five hundred ten million, one hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1429 2858 4287 5716 8574 10003 11432 17148 20006 30009 34296 40012 60018 80024 120036 240072 11248751 22497502 33746253 44995004 67492506 78741257 89990008 134985012 157482514 236223771 269970024 314965028 472447542 629930056 944895084 1889790168 16074465179 32148930358 48223395537 64297860716 96446791074 112521256253 128595721432 192893582148 225042512506 337563768759 385787164296 450085025012 675127537518 900170050024 1350255075036 2700510150072