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255122141221552 = 241124321411431389
BaseRepresentation
bin111010000000100001000000…
…100110100001001010110000
31020110022102211200011101101211
4322000201000212201022300
5231414410121123042202
62302333254345405504
7104510652330043663
oct7200410046411260
91213272750141354
10255122141221552
1174320768776500
1224744468a99894
13ac47bb7751b77
1446ddd984576da
151e764a43821d7
hexe808409a12b0

255122141221552 has 120 divisors (see below), whose sum is σ = 556215973180560. Its totient is φ = 113214775027200.

The previous prime is 255122141221531. The next prime is 255122141221553.

255122141221552 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (255122141221553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177518274 + ... + 178949662.

It is an arithmetic number, because the mean of its divisors is an integer number (4635133109838).

Almost surely, 2255122141221552 is an apocalyptic number.

255122141221552 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 255122141221552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278107986590280).

255122141221552 is an abundant number, since it is smaller than the sum of its proper divisors (301093831959008).

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

255122141221552 is a wasteful number, since it uses less digits than its factorization.

255122141221552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433603 (or 1433586 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

The spelling of 255122141221552 in words is "two hundred fifty-five trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 688 946 968 1892 1936 2141 3784 4282 5203 7568 8564 10406 17128 20812 23551 34256 41624 47102 83248 92063 94204 184126 188408 259061 368252 376816 518122 736504 1012693 1036244 1431389 1473008 2025386 2072488 2862778 4050772 4144976 5725556 8101544 11139623 11451112 15745279 16203088 22279246 22902224 31490558 44558492 61549727 62981116 89116984 123099454 125962232 173198069 178233968 246198908 251924464 346396138 492397816 677046997 692792276 984795632 1354093994 1385584552 2708187988 2771169104 3064603849 5416375976 6129207698 7447516967 10832751952 12258415396 14895033934 24516830792 29790067868 33710642339 49033661584 59580135736 67421284678 119160271472 131777965507 134842569356 263555931014 269685138712 370817065729 527111862028 539370277424 741634131458 1054223724056 1449557620577 1483268262916 2108447448112 2899115241154 2966536525832 5798230482308 5933073051664 11596460964616 15945133826347 23192921929232 31890267652694 63780535305388 127561070610776 255122141221552