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5152000152 = 233133199491
BaseRepresentation
bin1001100110001010…
…10100100010011000
3111022001101201120110
410303011110202120
541022403001102
62211121124320
7241446164415
oct46305244230
914261351513
105152000152
112204195a72
12bb94896a0
136414ab000
1436c34b10c
1520247d86c
hex133154898

5152000152 has 128 divisors (see below), whose sum is σ = 14051520000. Its totient is φ = 1574052480.

The previous prime is 5152000129. The next prime is 5152000163. The reversal of 5152000152 is 2510002515.

It is a congruent number.

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, 10492627 + ... + 10493117.

It is an arithmetic number, because the mean of its divisors is an integer number (109777500).

Almost surely, 25152000152 is an apocalyptic number.

5152000152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025760000).

5152000152 is an abundant number, since it is smaller than the sum of its proper divisors (8899519848).

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

5152000152 is a wasteful number, since it uses less digits than its factorization.

5152000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 5152000152 is about 71777.4348385340. The cubic root of 5152000152 is about 1727.1310386850.

Adding to 5152000152 its reverse (2510002515), we get a palindrome (7662002667).

The spelling of 5152000152 in words is "five billion, one hundred fifty-two million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 199 312 338 398 491 507 597 676 796 982 1014 1194 1352 1473 1592 1964 2028 2197 2388 2587 2946 3928 4056 4394 4776 5174 5892 6383 6591 7761 8788 10348 11784 12766 13182 15522 17576 19149 20696 25532 26364 31044 33631 38298 51064 52728 62088 67262 76596 82979 97709 100893 134524 153192 165958 195418 201786 248937 269048 293127 331916 390836 403572 437203 497874 586254 663832 781672 807144 874406 995748 1078727 1172508 1270217 1311609 1748812 1991496 2157454 2345016 2540434 2623218 3236181 3497624 3810651 4314908 5080868 5246436 6472362 7621302 8629816 10161736 10492872 12944724 15242604 16512821 25889448 30485208 33025642 49538463 66051284 99076926 132102568 198153852 214666673 396307704 429333346 644000019 858666692 1288000038 1717333384 2576000076 5152000152