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5314125132 = 22321783233449
BaseRepresentation
bin1001111001011111…
…10001110101001100
3111201100110112020100
410330233301311030
541340404001012
62235152051100
7245455214121
oct47457616514
914640415210
105314125132
112287759958
121043833a90
13668c63a54
14385ab0748
152118058dc
hex13cbf1d4c

5314125132 has 144 divisors (see below), whose sum is σ = 14488437600. Its totient is φ = 1636368384.

The previous prime is 5314125127. The next prime is 5314125133. The reversal of 5314125132 is 2315214135.

5314125132 is a `hidden beast` number, since 5 + 3 + 141 + 2 + 513 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5314125096 and 5314125105.

It is not an unprimeable number, because it can be changed into a prime (5314125133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11835244 + ... + 11835692.

It is an arithmetic number, because the mean of its divisors is an integer number (100614150).

Almost surely, 25314125132 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 5314125132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244218800).

5314125132 is an abundant number, since it is smaller than the sum of its proper divisors (9174312468).

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

5314125132 is a wasteful number, since it uses less digits than its factorization.

5314125132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 787 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5314125132 is about 72898.0461466561. The cubic root of 5314125132 is about 1745.0609176797.

Adding to 5314125132 its reverse (2315214135), we get a palindrome (7629339267).

The spelling of 5314125132 in words is "five billion, three hundred fourteen million, one hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 233 249 306 332 449 466 498 612 699 747 898 932 996 1347 1398 1411 1494 1796 2097 2694 2796 2822 2988 3961 4041 4194 4233 5388 5644 7633 7922 8082 8388 8466 11883 12699 15266 15844 16164 16932 19339 22899 23766 25398 30532 35649 37267 38678 45798 47532 50796 58017 68697 71298 74534 77356 91596 104617 111801 116034 137394 142596 149068 174051 209234 223602 232068 274788 313851 328763 335403 348102 418468 447204 627702 633539 657526 670806 696204 941553 986289 1255404 1267078 1315052 1341612 1778489 1883106 1900617 1972578 2534156 2958867 3556978 3766212 3801234 3945156 5335467 5701851 5917734 7113956 7602468 8683211 10670934 11403702 11835468 16006401 17366422 21341868 22807404 26049633 32012802 34732844 52099266 64025604 78148899 104198532 147614587 156297798 295229174 312595596 442843761 590458348 885687522 1328531283 1771375044 2657062566 5314125132