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13088244288032 = 2519257105179697
BaseRepresentation
bin1011111001110101100000…
…1001101100101000100000
31201100020001020200211100122
42332131120021230220200
53203414211014204112
643500353441535412
72520410615565224
oct276353011545040
951306036624318
1013088244288032
114196769766461
12157470a644568
1373c2a6b25b74
1433368da98784
1517a6c6807872
hexbe75826ca20

13088244288032 has 96 divisors (see below), whose sum is σ = 27255453583680. Its totient is φ = 6169618022400.

The previous prime is 13088244288023. The next prime is 13088244288043. The reversal of 13088244288032 is 23088244288031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164185208 + ... + 164264904.

It is an arithmetic number, because the mean of its divisors is an integer number (283910974830).

Almost surely, 213088244288032 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 13088244288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627726791840).

13088244288032 is an abundant number, since it is smaller than the sum of its proper divisors (14167209295648).

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

13088244288032 is a wasteful number, since it uses less digits than its factorization.

13088244288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81034 (or 81026 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 53.

Subtracting 13088244288032 from its reverse (23088244288031), we obtain a palindrome (9999999999999).

The spelling of 13088244288032 in words is "thirteen trillion, eighty-eight billion, two hundred forty-four million, two hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 257 304 514 608 1028 1051 2056 2102 4112 4204 4883 8224 8408 9766 16816 19532 19969 33632 39064 39938 78128 79697 79876 156256 159394 159752 270107 318788 319504 540214 637576 639008 1080428 1275152 1514243 2160856 2550304 3028486 4321712 5132033 6056972 8643424 10264066 12113944 20482129 20528132 24227888 40964258 41056264 48455776 81928516 82112528 83761547 163857032 164225056 167523094 327714064 335046188 389160451 655428128 670092376 778320902 1340184752 1556641804 1591469393 2680369504 3113283608 3182938786 6226567216 6365877572 12453134432 12731755144 21526717579 25463510288 43053435158 50927020576 86106870316 172213740632 344427481264 409007634001 688854962528 818015268002 1636030536004 3272061072008 6544122144016 13088244288032