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5135125032 = 2333412931979
BaseRepresentation
bin1001100100001001…
…11100101000101000
3111020212122101021000
410302010330220220
541004043000112
62205315315000
7241152562002
oct46204745050
914225571230
105135125032
1121a570a494
12bb38aba60
1363ab5002b
14369dd7372
15200c487dc
hex13213ca28

5135125032 has 128 divisors (see below), whose sum is σ = 14669424000. Its totient is φ = 1663418880.

The previous prime is 5135124989. The next prime is 5135125103. The reversal of 5135125032 is 2305215315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5135124987 and 5135125005.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2593819 + ... + 2595797.

It is an arithmetic number, because the mean of its divisors is an integer number (114604875).

Almost surely, 25135125032 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 5135125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334712000).

5135125032 is an abundant number, since it is smaller than the sum of its proper divisors (9534298968).

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

5135125032 is a wasteful number, since it uses less digits than its factorization.

5135125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5135125032 is about 71659.7867147259. The cubic root of 5135125032 is about 1725.2432655032.

The spelling of 5135125032 in words is "five billion, one hundred thirty-five million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 293 328 369 492 586 738 879 984 1107 1172 1476 1758 1979 2214 2344 2637 2952 3516 3958 4428 5274 5937 7032 7911 7916 8856 10548 11874 12013 15822 15832 17811 21096 23748 24026 31644 35622 36039 47496 48052 53433 63288 71244 72078 81139 96104 106866 108117 142488 144156 162278 213732 216234 243417 288312 324351 324556 427464 432468 486834 579847 648702 649112 730251 864936 973668 1159694 1297404 1460502 1739541 1947336 2190753 2319388 2594808 2921004 3479082 4381506 4638776 5218623 5842008 6958164 8763012 10437246 13916328 15655869 17526024 20874492 23773727 31311738 41748984 47547454 62623476 71321181 95094908 125246952 142642362 190189816 213963543 285284724 427927086 570569448 641890629 855854172 1283781258 1711708344 2567562516 5135125032