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5106261132 = 2232727174771
BaseRepresentation
bin1001100000101101…
…10101110010001100
3111011212022221102200
410300112311302030
540424200324012
62202404521500
7240352334460
oct46026656214
914155287380
105106261132
112190395625
12ba60b0290
13634b851bb
143662424a0
151ed4463dc
hex1305b5c8c

5106261132 has 72 divisors (see below), whose sum is σ = 14806052352. Its totient is φ = 1453528800.

The previous prime is 5106261113. The next prime is 5106261133. The reversal of 5106261132 is 2311626015.

5106261132 is a `hidden beast` number, since 5 + 1 + 0 + 626 + 1 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5106261096 and 5106261105.

It is not an unprimeable number, because it can be changed into a prime (5106261133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30907 + ... + 105677.

It is an arithmetic number, because the mean of its divisors is an integer number (205639616).

Almost surely, 25106261132 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 5106261132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403026176).

5106261132 is an abundant number, since it is smaller than the sum of its proper divisors (9699791220).

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

5106261132 is a wasteful number, since it uses less digits than its factorization.

5106261132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75059 (or 75054 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5106261132 is about 71458.1075316160. The cubic root of 5106261132 is about 1722.0047307312.

Adding to 5106261132 its reverse (2311626015), we get a palindrome (7417887147).

The spelling of 5106261132 in words is "five billion, one hundred six million, two hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 542 813 1084 1626 1897 2439 3252 3794 4878 5691 7588 9756 11382 17073 22764 34146 68292 74771 149542 224313 299084 448626 523397 672939 897252 1046794 1345878 1570191 2093588 2691756 3140382 4710573 6280764 9421146 18842292 20262941 40525882 60788823 81051764 121577646 141840587 182366469 243155292 283681174 364732938 425521761 567362348 729465876 851043522 1276565283 1702087044 2553130566 5106261132