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252143758592 = 28113122912613
BaseRepresentation
bin1110101011010011110…
…0000110110100000000
3220002211022222002001122
43222310330012310000
513112342300233332
6311455551451412
724134233404545
oct3526474066400
9802738862048
10252143758592
1197a2a63a870
1240a4a526b68
131aa1425b2bb
14c2bd40cbcc
15685b126c12
hex3ab4f06d00

252143758592 has 144 divisors (see below), whose sum is σ = 569288993280. Its totient is φ = 110420582400.

The previous prime is 252143758589. The next prime is 252143758609. The reversal of 252143758592 is 295857341252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19984478 + ... + 19997090.

Almost surely, 2252143758592 is an apocalyptic number.

252143758592 is a gapful number since it is divisible by the number (22) 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 252143758592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284644496640).

252143758592 is an abundant number, since it is smaller than the sum of its proper divisors (317145234688).

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

252143758592 is a wasteful number, since it uses less digits than its factorization.

252143758592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12886 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 53.

The spelling of 252143758592 in words is "two hundred fifty-two billion, one hundred forty-three million, seven hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 229 248 256 341 352 458 496 682 704 916 992 1364 1408 1832 1984 2519 2728 2816 3664 3968 5038 5456 7099 7328 7936 10076 10912 12613 14198 14656 20152 21824 25226 28396 29312 40304 43648 50452 56792 58624 78089 80608 87296 100904 113584 138743 156178 161216 201808 227168 277486 312356 322432 391003 403616 454336 554972 624712 644864 782006 807232 908672 1109944 1249424 1564012 1614464 1817344 2219888 2498848 2888377 3128024 3228928 4301033 4439776 4997696 5776754 6256048 8602066 8879552 9995392 11553508 12512096 17204132 17759104 19990784 23107016 25024192 31772147 34408264 35518208 46214032 50048384 63544294 68816528 89539687 92428064 100096768 127088588 137633056 179079374 184856128 254177176 275266112 358158748 369712256 508354352 550532224 716317496 739424512 984936557 1016708704 1101064448 1432634992 1969873114 2033417408 2865269984 3939746228 4066834816 5730539968 7879492456 8133669632 11461079936 15758984912 22922159872 31517969824 63035939648 126071879296 252143758592