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252343415233532 = 227471792591413443
BaseRepresentation
bin111001011000000101000111…
…101000000101101111111100
31020002110210110110222120120202
4321120011013220011233330
5231033343303244433112
62252404544204103032
7104103132032622260
oct7130050750055774
91202423413876522
10252343415233532
117344a272358007
1224375a17234a78
13aaa5b60854bcc
1446456b4c020a0
151e29070ad86c2
hexe58147a05bfc

252343415233532 has 96 divisors (see below), whose sum is σ = 518505610936320. Its totient is φ = 105213977023680.

The previous prime is 252343415233529. The next prime is 252343415233541. The reversal of 252343415233532 is 235332514343252.

252343415233532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610139603 + ... + 610553045.

It is an arithmetic number, because the mean of its divisors is an integer number (5401100113920).

Almost surely, 2252343415233532 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 252343415233532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259252805468160).

252343415233532 is an abundant number, since it is smaller than the sum of its proper divisors (266162195702788).

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

252343415233532 is a wasteful number, since it uses less digits than its factorization.

252343415233532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416271 (or 416269 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 47.

Adding to 252343415233532 its reverse (235332514343252), we get a palindrome (487675929576784).

The spelling of 252343415233532 in words is "two hundred fifty-two trillion, three hundred forty-three billion, four hundred fifteen million, two hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 94 179 188 329 358 658 716 1253 1316 2506 2591 5012 5182 8413 10364 16826 18137 33652 36274 58891 72548 117782 121777 235564 243554 413443 463789 487108 826886 852439 927578 1653772 1704878 1855156 2894101 3246523 3409756 5788202 6493046 11576404 12986092 19431821 21798083 38863642 43596166 74006297 77727284 87192332 136022747 148012594 152586581 272045494 296025188 305173162 518044079 544090988 610346324 1036088158 1071230813 2072176316 2142461626 3478295959 4284923252 6956591918 7498615691 13913183836 14997231382 24348071713 29994462764 48696143426 50347848211 97392286852 100695696422 191750315527 201391392844 352434937477 383500631054 704869874954 767001262108 1342252208689 1409739749908 2684504417378 5369008834756 9012264829769 18024529659538 36049059319076 63085853808383 126171707616766 252343415233532