Search a number
-
+
11501475072 = 28317538543
BaseRepresentation
bin10101011011000101…
…01001010100000000
31002200120001110201020
422231202221110000
5142023334200242
65141140305440
7555005632203
oct125542512400
932616043636
1011501475072
1149723124aa
12228b9a2280
131113aa7c69
147b172b93a
15474ae96ec
hex2ad8a9500

11501475072 has 72 divisors (see below), whose sum is σ = 30631743744. Its totient is φ = 3831189504.

The previous prime is 11501475061. The next prime is 11501475079. The reversal of 11501475072 is 27057410511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11501475079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1342033 + ... + 1350575.

Almost surely, 211501475072 is an apocalyptic number.

11501475072 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 11501475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315871872).

11501475072 is an abundant number, since it is smaller than the sum of its proper divisors (19130268672).

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

11501475072 is an equidigital number, since it uses as much as digits as its factorization.

11501475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

Adding to 11501475072 its reverse (27057410511), we get a palindrome (38558885583).

The spelling of 11501475072 in words is "eleven billion, five hundred one million, four hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1753 3506 5259 7012 8543 10518 14024 17086 21036 25629 28048 34172 42072 51258 56096 68344 84144 102516 112192 136688 168288 205032 224384 273376 336576 410064 448768 546752 673152 820128 1093504 1346304 1640256 2187008 3280512 6561024 14975879 29951758 44927637 59903516 89855274 119807032 179710548 239614064 359421096 479228128 718842192 958456256 1437684384 1916912512 2875368768 3833825024 5750737536 11501475072