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13050401640 = 23354711320477
BaseRepresentation
bin11000010011101110…
…10101001101101000
31020200111122002111220
430021313111031220
5203211400323030
65554551222040
7641254404123
oct141167251550
936614562456
1013050401640
11559767aa01
122642677920
1312cc96ab63
148bb3293ba
15515aaaa10
hex309dd5368

13050401640 has 128 divisors (see below), whose sum is σ = 40340021760. Its totient is φ = 3375755264.

The previous prime is 13050401633. The next prime is 13050401647. The reversal of 13050401640 is 4610405031.

13050401640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13050401633) and next prime (13050401647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13050401640.

It is not an unprimeable number, because it can be changed into a prime (13050401647) by changing a digit.

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, 627082 + ... + 647558.

It is an arithmetic number, because the mean of its divisors is an integer number (315156420).

Almost surely, 213050401640 is an apocalyptic number.

13050401640 is a gapful number since it is divisible by the number (10) 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 13050401640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170010880).

13050401640 is an abundant number, since it is smaller than the sum of its proper divisors (27289620120).

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

13050401640 is a wasteful number, since it uses less digits than its factorization.

13050401640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13050401640 its reverse (4610405031), we get a palindrome (17660806671).

The spelling of 13050401640 in words is "thirteen billion, fifty million, four hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 113 120 141 188 226 235 282 339 376 452 470 564 565 678 705 904 940 1128 1130 1356 1410 1695 1880 2260 2712 2820 3390 4520 5311 5640 6780 10622 13560 15933 20477 21244 26555 31866 40954 42488 53110 61431 63732 79665 81908 102385 106220 122862 127464 159330 163816 204770 212440 245724 307155 318660 409540 491448 614310 637320 819080 962419 1228620 1924838 2313901 2457240 2887257 3849676 4627802 4812095 5774514 6941703 7699352 9255604 9624190 11549028 11569505 13883406 14436285 18511208 19248380 23098056 23139010 27766812 28872570 34708515 38496760 46278020 55533624 57745140 69417030 92556040 108753347 115490280 138834060 217506694 277668120 326260041 435013388 543766735 652520082 870026776 1087533470 1305040164 1631300205 2175066940 2610080328 3262600410 4350133880 6525200820 13050401640