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252213024126 = 237219728115497
BaseRepresentation
bin1110101011100100010…
…0010101010101111110
3220010000011022010111210
43222321010111111332
513113013013233001
6311510504225250
724136034222100
oct3527104252576
9803004263453
10252213024126
1197a6574a008
1240a6976b226
131aa2570071b
14c2c86bd570
156862259dd6
hex3ab911557e

252213024126 has 96 divisors (see below), whose sum is σ = 591896888352. Its totient is φ = 71435320320.

The previous prime is 252213024101. The next prime is 252213024137. The reversal of 252213024126 is 621420312252.

It is a super-2 number, since 2×2522130241262 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252213024093 and 252213024102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16267210 + ... + 16282706.

It is an arithmetic number, because the mean of its divisors is an integer number (6165592587).

Almost surely, 2252213024126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252213024126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295948444176).

252213024126 is an abundant number, since it is smaller than the sum of its proper divisors (339683864226).

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

252213024126 is a wasteful number, since it uses less digits than its factorization.

252213024126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15994 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 252213024126 its reverse (621420312252), we get a palindrome (873633336378).

The spelling of 252213024126 in words is "two hundred fifty-two billion, two hundred thirteen million, twenty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 281 294 394 562 591 843 1182 1379 1686 1967 2758 3934 4137 5901 8274 9653 11802 13769 15497 19306 27538 28959 30994 41307 46491 55357 57918 82614 92982 108479 110714 166071 216958 325437 332142 387499 650874 759353 774998 1162497 1518706 2278059 2324994 2712493 3052909 4354657 4556118 5424986 6105818 8137479 8709314 9158727 13063971 16274958 18317454 21370363 26127942 30482599 42740726 60965198 64111089 91447797 128222178 149592541 182895594 213378193 299185082 426756386 448777623 640134579 857867429 897555246 1280269158 1715734858 2573602287 5147204574 6005072003 12010144006 18015216009 36030432018 42035504021 84071008042 126106512063 252213024126