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41565340378608 = 24331401557125063
BaseRepresentation
bin10010111001101101011110…
…10110010010010111110000
312110011121102001000022000120
421130312233112102113300
520422001304114103413
6224222504225050240
711516665611526644
oct1134665726222760
9173147361008016
1041565340378608
1112275842045a62
1247b3784486980
131a26796964897
14a39ab7980c24
154c13235a8723
hex25cdaf5925f0

41565340378608 has 160 divisors (see below), whose sum is σ = 111317701496832. Its totient is φ = 13350618624000.

The previous prime is 41565340378589. The next prime is 41565340378613. The reversal of 41565340378608 is 80687304356514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332292685 + ... + 332417747.

Almost surely, 241565340378608 is an apocalyptic number.

41565340378608 is a gapful number since it is divisible by the number (48) 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 41565340378608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55658850748416).

41565340378608 is an abundant number, since it is smaller than the sum of its proper divisors (69752361118224).

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

41565340378608 is a wasteful number, since it uses less digits than its factorization.

41565340378608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126063 (or 126057 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 41565340378608 in words is "forty-one trillion, five hundred sixty-five billion, three hundred forty million, three hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 401 496 557 744 802 1114 1203 1488 1604 1671 2228 2406 3208 3342 4456 4812 6416 6684 8912 9624 12431 13368 17267 19248 24862 26736 34534 37293 49724 51801 69068 74586 99448 103602 125063 138136 149172 198896 207204 223357 250126 276272 298344 375189 414408 446714 500252 596688 670071 750378 828816 893428 1000504 1340142 1500756 1786856 2001008 2680284 3001512 3573712 3876953 5360568 6003024 6924067 7753906 10721136 11630859 13848134 15507812 20772201 23261718 27696268 31015624 41544402 46523436 50150263 55392536 62031248 69660091 83088804 93046872 100300526 110785072 139320182 150450789 166177608 186093744 200601052 208980273 278640364 300901578 332355216 401202104 417960546 557280728 601803156 802404208 835921092 1114561456 1203606312 1554658153 1671842184 2159462821 2407212624 3109316306 3343684368 4318925642 4663974459 6218632612 6478388463 8637851284 9327948918 12437265224 12956776926 17275702568 18655897836 24874530448 25913553852 27933696491 34551405136 37311795672 51827107704 55867392982 74623591344 83801089473 103654215408 111734785964 167602178946 223469571928 335204357892 446939143856 670408715784 865944591221 1340817431568 1731889182442 2597833773663 3463778364884 5195667547326 6927556729768 10391335094652 13855113459536 20782670189304 41565340378608