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2538910270232 = 237192989924523
BaseRepresentation
bin100100111100100010110…
…110000100001100011000
322222201101000121002111022
4210330202312010030120
5313044142012121412
65222205334222012
7351300364135460
oct44744266041430
98881330532438
102538910270232
11899822727206
12350083ab4908
13155558a6b58b
148ac53656ba0
1546099adea72
hex24f22d84318

2538910270232 has 128 divisors (see below), whose sum is σ = 5990915520000. Its totient is φ = 984105593856.

The previous prime is 2538910270229. The next prime is 2538910270243. The reversal of 2538910270232 is 2320720198352.

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 31 ways as a sum of consecutive naturals, for example, 2283923 + ... + 3208445.

It is an arithmetic number, because the mean of its divisors is an integer number (46804027500).

Almost surely, 22538910270232 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 2538910270232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995457760000).

2538910270232 is an abundant number, since it is smaller than the sum of its proper divisors (3452005249768).

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

2538910270232 is a wasteful number, since it uses less digits than its factorization.

2538910270232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924673 (or 924669 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 2538910270232 in words is "two trillion, five hundred thirty-eight billion, nine hundred ten million, two hundred seventy thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 76 89 116 133 152 178 203 232 266 356 406 532 551 623 712 812 1064 1102 1246 1624 1691 2204 2492 2581 3382 3857 4408 4984 5162 6764 7714 10324 11837 13528 15428 18067 20648 23674 30856 36134 47348 49039 72268 94696 98078 144536 196156 343273 392312 686546 924523 1373092 1849046 2746184 3698092 6471661 7396184 12943322 17565937 25886644 26811167 35131874 51773288 53622334 70263748 82282547 107244668 122961559 140527496 164565094 187678169 214489336 245923118 329130188 375356338 491846236 509412173 575977829 658260376 750712676 983692472 1018824346 1151955658 1501425352 1563368393 2037648692 2303911316 2386193863 3126736786 3565885211 4075297384 4607822632 4772387726 6253473572 7131770422 9544775452 10943578751 12506947144 14263540844 16703357041 19089550904 21887157502 28527081688 33406714082 43774315004 45337683397 66813428164 87548630008 90675366794 133626856328 181350733588 317363783779 362701467176 634727567558 1269455135116 2538910270232