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41585377830152 = 231310726091432351
BaseRepresentation
bin10010111010010010110011…
…01011000110010100001000
312110020112010111000022010112
421131021121223012110020
520422313323211031102
6224240020413133452
711521305300206012
oct1135113153062410
9173215114008115
1041585377830152
1112283294724972
1247b7636a8a288
131a2863b0230a0
14a3aa58c151b2
154c1ae7771252
hex25d259ac6508

41585377830152 has 64 divisors (see below), whose sum is σ = 84787790169600. Its totient is φ = 19006574054400.

The previous prime is 41585377830133. The next prime is 41585377830263. The reversal of 41585377830152 is 25103877358514.

It is a junction number, because it is equal to n+sod(n) for n = 41585377830091 and 41585377830100.

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, 28316777 + ... + 29749127.

It is an arithmetic number, because the mean of its divisors is an integer number (1324809221400).

Almost surely, 241585377830152 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 41585377830152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42393895084800).

41585377830152 is an abundant number, since it is smaller than the sum of its proper divisors (43202412339448).

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

41585377830152 is a wasteful number, since it uses less digits than its factorization.

41585377830152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435086 (or 1435082 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 59.

The spelling of 41585377830152 in words is "forty-one trillion, five hundred eighty-five billion, three hundred seventy-seven million, eight hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2609 2782 5218 5564 10436 11128 20872 33917 67834 135668 271336 279163 558326 1116652 1432351 2233304 2864702 3629119 5729404 7258238 11458808 14516476 18620563 29032952 37241126 74482252 148964504 153261557 306523114 613046228 1226092456 1992400241 3737003759 3984800482 7474007518 7969600964 14948015036 15939201928 29896030072 48581048867 97162097734 194324195468 388648390936 399859402213 799718804426 1599437608852 3198875217704 5198172228769 10396344457538 20792688915076 41585377830152