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45341886838060 = 225195711483140909
BaseRepresentation
bin10100100111100111110110…
…00011101111010100101100
312221112122100001110000012101
422103303323003233110230
521420340141012304220
6240233435242144444
712356562140012611
oct1223637303572454
9187478301400171
1045341886838060
11134a142807226a
12510368a1b2124
131c3b94c4158b7
14b2a7b7db0508
155396a709230a
hex293cfb0ef52c

45341886838060 has 96 divisors (see below), whose sum is σ = 100473384211200. Its totient is φ = 17140409844480.

The previous prime is 45341886838033. The next prime is 45341886838069. The reversal of 45341886838060 is 6083868814354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45341886837983 and 45341886838001.

It is not an unprimeable number, because it can be changed into a prime (45341886838069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321710886 + ... + 321851794.

It is an arithmetic number, because the mean of its divisors is an integer number (1046597752200).

Almost surely, 245341886838060 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 45341886838060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50236692105600).

45341886838060 is an abundant number, since it is smaller than the sum of its proper divisors (55131497373140).

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

45341886838060 is a wasteful number, since it uses less digits than its factorization.

45341886838060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142991 (or 142989 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 64.

The spelling of 45341886838060 in words is "forty-five trillion, three hundred forty-one billion, eight hundred eighty-six million, eight hundred thirty-eight thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 571 1142 1483 2284 2855 2966 5710 5932 7415 10849 11420 14830 21698 28177 29660 43396 54245 56354 108490 112708 140885 140909 216980 281770 281818 563540 563636 704545 846793 1409090 1693586 2677271 2818180 3387172 4233965 5354542 8467930 10709084 13386355 16089067 16935860 26772710 32178134 53545420 64356268 80445335 80459039 160890670 160918078 208968047 321781340 321836156 402295195 417936094 804590390 835872188 1044840235 1528721741 1609180780 2089680470 3057443482 3970392893 4179360940 6114886964 7643608705 7940785786 15287217410 15881571572 19851964465 30574434820 39703928930 79407857860 119320754837 238641509674 477283019348 596603774185 1193207548370 2267094341903 2386415096740 4534188683806 9068377367612 11335471709515 22670943419030 45341886838060