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11534032675328 = 29232381341131
BaseRepresentation
bin1010011111010111100111…
…1010111010001000000000
31111211122100120100102111112
42213311321322322020000
53002433144331102303
640310354513102452
72300210040055532
oct247657172721000
944748316312445
1011534032675328
113747612832069
121363458257a28
13658868259227
142bc370621852
1515005ee930d8
hexa7d79eba200

11534032675328 has 80 divisors (see below), whose sum is σ = 24049112383296. Its totient is φ = 5515910737920.

The previous prime is 11534032675309. The next prime is 11534032675369. The reversal of 11534032675328 is 82357623043511.

11534032675328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280401323 + ... + 280442453.

Almost surely, 211534032675328 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 11534032675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024556191648).

11534032675328 is an abundant number, since it is smaller than the sum of its proper divisors (12515079707968).

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

11534032675328 is an equidigital number, since it uses as much as digits as its factorization.

11534032675328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64985 (or 64969 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 11534032675328 in words is "eleven trillion, five hundred thirty-four billion, thirty-two million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2944 5888 11776 23813 41131 47626 82262 95252 164524 190504 329048 381008 547699 658096 762016 946013 1095398 1316192 1524032 1892026 2190796 2632384 3048064 3784052 4381592 5264768 6096128 7568104 8763184 10529536 12192256 15136208 17526368 21059072 30272416 35052736 60544832 70105472 121089664 140210944 242179328 280421888 484358656 979452503 1958905006 3917810012 7835620024 15671240048 22527407569 31342480096 45054815138 62684960192 90109630276 125369920384 180219260552 250739840768 360438521104 501479681536 720877042208 1441754084416 2883508168832 5767016337664 11534032675328