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5265731232 = 2532175092113
BaseRepresentation
bin1001110011101110…
…01010111010100000
3111120222101212021200
410321313022322200
541241011344412
62230302521200
7244326656046
oct47167127240
914528355250
105265731232
1122624058a3
12102b596200
1365bc1b6c8
1437d4b4396
1520c4469dc
hex139dcaea0

5265731232 has 144 divisors (see below), whose sum is σ = 15893939880. Its totient is φ = 1647968256.

The previous prime is 5265731213. The next prime is 5265731267. The reversal of 5265731232 is 2321375625.

5265731232 is a `hidden beast` number, since 52 + 6 + 573 + 1 + 2 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4256779536 + 1008951696 = 65244^2 + 31764^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2491008 + ... + 2493120.

Almost surely, 25265731232 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 5265731232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946969940).

5265731232 is an abundant number, since it is smaller than the sum of its proper divisors (10628208648).

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

5265731232 is a wasteful number, since it uses less digits than its factorization.

5265731232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5265731232 is about 72565.3583468035. The cubic root of 5265731232 is about 1739.7475337228.

The spelling of 5265731232 in words is "five billion, two hundred sixty-five million, seven hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 509 544 612 816 1018 1224 1527 1632 2036 2113 2448 3054 4072 4226 4581 4896 6108 6339 8144 8452 8653 9162 12216 12678 16288 16904 17306 18324 19017 24432 25356 25959 33808 34612 35921 36648 38034 48864 50712 51918 67616 69224 71842 73296 76068 77877 101424 103836 107763 138448 143684 146592 152136 155754 202848 207672 215526 276896 287368 304272 311508 323289 415344 431052 574736 608544 623016 646578 830688 862104 1075517 1149472 1246032 1293156 1724208 2151034 2492064 2586312 3226551 3448416 4302068 5172624 6453102 8604136 9679653 10345248 12906204 17208272 18283789 19359306 25812408 34416544 36567578 38718612 51624816 54851367 73135156 77437224 103249632 109702734 146270312 154874448 164554101 219405468 292540624 309748896 329108202 438810936 585081248 658216404 877621872 1316432808 1755243744 2632865616 5265731232