Search a number
-
+
5135202504 = 2332199738699
BaseRepresentation
bin1001100100001010…
…01111100011001000
3111020212210022112100
410302011033203020
541004102440004
62205321113400
7241153333605
oct46205174310
914225708470
105135202504
1121a5762713
12bb3928860
1363ab79383
1436a0176ac
15200c61739
hex13214f8c8

5135202504 has 96 divisors (see below), whose sum is σ = 14791140000. Its totient is φ = 1604883456.

The previous prime is 5135202497. The next prime is 5135202511. The reversal of 5135202504 is 4052025315.

It is a happy number.

5135202504 is a `hidden beast` number, since 5 + 135 + 20 + 2 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (5135202497) and next prime (5135202511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113347 + ... + 152045.

It is an arithmetic number, because the mean of its divisors is an integer number (154074375).

Almost surely, 25135202504 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 5135202504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395570000).

5135202504 is an abundant number, since it is smaller than the sum of its proper divisors (9655937496).

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

5135202504 is a wasteful number, since it uses less digits than its factorization.

5135202504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38827 (or 38820 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5135202504 is about 71660.3272669055. The cubic root of 5135202504 is about 1725.2519415253.

Adding to 5135202504 its reverse (4052025315), we get a palindrome (9187227819).

The spelling of 5135202504 in words is "five billion, one hundred thirty-five million, two hundred two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 97 114 152 171 194 228 291 342 388 456 582 684 776 873 1164 1368 1746 1843 2328 3492 3686 5529 6984 7372 11058 14744 16587 22116 33174 38699 44232 66348 77398 116097 132696 154796 232194 309592 348291 464388 696582 735281 928776 1393164 1470562 2205843 2786328 2941124 3753803 4411686 5882248 6617529 7507606 8823372 11261409 13235058 15015212 17646744 22522818 26470116 30030424 33784227 45045636 52940232 67568454 71322257 90091272 135136908 142644514 213966771 270273816 285289028 427933542 570578056 641900313 855867084 1283800626 1711734168 2567601252 5135202504