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1360009417956 = 223725956968897
BaseRepresentation
bin10011110010100110111…
…000001101010011100100
311211000102101122201222120
4103302212320031103210
5134240244402333311
62520440225425540
7200154205212600
oct23624670152344
94730371581876
101360009417956
1148485a952092
1219b6b449b2b0
139b32c7a1287
1449b793b0500
152559c3d8706
hex13ca6e0d4e4

1360009417956 has 144 divisors (see below), whose sum is σ = 3760673313600. Its totient is φ = 381311250432.

The previous prime is 1360009417951. The next prime is 1360009417967. The reversal of 1360009417956 is 6597149000631.

It is a junction number, because it is equal to n+sod(n) for n = 1360009417899 and 1360009417908.

It is not an unprimeable number, because it can be changed into a prime (1360009417951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19705300 + ... + 19774196.

It is an arithmetic number, because the mean of its divisors is an integer number (26115786900).

Almost surely, 21360009417956 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 1360009417956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880336656800).

1360009417956 is an abundant number, since it is smaller than the sum of its proper divisors (2400663895644).

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

1360009417956 is a wasteful number, since it uses less digits than its factorization.

1360009417956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69546 (or 69537 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 1360009417956 in words is "one trillion, three hundred sixty billion, nine million, four hundred seventeen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 569 588 708 826 1138 1239 1652 1707 2276 2478 2891 3414 3983 4956 5782 6828 7966 8673 11564 11949 15932 17346 23898 27881 33571 34692 47796 55762 67142 68897 83643 100713 111524 134284 137794 167286 201426 206691 234997 275588 334572 402852 413382 469994 482279 704991 826764 939988 964558 1409982 1446837 1644979 1929116 2819964 2893674 3289958 3375953 4064923 4934937 5787348 6579916 6751906 8129846 9869874 10127859 12194769 13503812 16259692 19739748 20255718 24389538 28454461 39202393 40511436 48779076 56908922 78404786 85363383 113817844 117607179 156809572 170726766 199181227 235214358 274416751 341453532 398362454 470428716 548833502 597543681 796724908 823250253 1097667004 1195087362 1646500506 1920917257 2312941187 2390174724 3293001012 3841834514 4625882374 5762751771 6938823561 7683669028 9251764748 11525503542 13877647122 16190588309 23051007084 27755294244 32381176618 48571764927 64762353236 97143529854 113334118163 194287059708 226668236326 340002354489 453336472652 680004708978 1360009417956