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253025500552 = 2311194112729063
BaseRepresentation
bin1110101110100101111…
…1101011110110001000
3220012002210010012122021
43223221133223312020
513121144012004202
6312123250334224
724165131161036
oct3535137536610
9805083105567
10253025500552
1198342331630
124105588a374
131ab24b313c6
14c364575556
1568ad748a37
hex3ae97ebd88

253025500552 has 128 divisors (see below), whose sum is σ = 562493030400. Its totient is φ = 105460185600.

The previous prime is 253025500549. The next prime is 253025500619. The reversal of 253025500552 is 255005520352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8691573 + ... + 8720635.

It is an arithmetic number, because the mean of its divisors is an integer number (4394476800).

Almost surely, 2253025500552 is an apocalyptic number.

253025500552 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 253025500552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281246515200).

253025500552 is an abundant number, since it is smaller than the sum of its proper divisors (309467529848).

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

253025500552 is a wasteful number, since it uses less digits than its factorization.

253025500552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29267 (or 29263 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 34.

The spelling of 253025500552 in words is "two hundred fifty-three billion, twenty-five million, five hundred thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 41 44 76 82 88 127 152 164 209 254 328 418 451 508 779 836 902 1016 1397 1558 1672 1804 2413 2794 3116 3608 4826 5207 5588 6232 8569 9652 10414 11176 17138 19304 20828 26543 29063 34276 41656 53086 57277 58126 68552 98933 106172 114554 116252 197866 212344 229108 232504 319693 395732 458216 552197 639386 791464 1088263 1104394 1191583 1278772 2176526 2208788 2383166 2557544 3691001 4353052 4417576 4766332 6074167 7382002 8706104 9532664 12148334 13107413 14764004 22640077 24296668 26214826 29528008 40601011 45280154 48593336 52429652 70129019 81202022 90560308 104859304 140258038 151331041 162404044 181120616 249040847 280516076 302662082 324808088 498081694 561032152 605324164 771419209 996163388 1210648328 1542838418 1664641451 1992326776 2875289779 3085676836 3329282902 5750579558 6171353672 6658565804 11501159116 13317131608 23002318232 31628187569 63256375138 126512750276 253025500552