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1691290148568 = 233317138038419
BaseRepresentation
bin11000100111001000101…
…111111001111011011000
312222200111220210112012220
4120213020233321323120
5210202230234223233
63332545025304040
7233122514030466
oct30471057717330
95880456715186
101691290148568
115a22aa219269
12233949795020
13c3646114227
145bc04aa3836
152dedad56eb3
hex189c8bf9ed8

1691290148568 has 128 divisors (see below), whose sum is σ = 4427782963200. Its totient is φ = 537687964800.

The previous prime is 1691290148557. The next prime is 1691290148593. The reversal of 1691290148568 is 8658410921961.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200885463 + ... + 200893881.

It is an arithmetic number, because the mean of its divisors is an integer number (34592054400).

Almost surely, 21691290148568 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 1691290148568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213891481600).

1691290148568 is an abundant number, since it is smaller than the sum of its proper divisors (2736492814632).

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

1691290148568 is a wasteful number, since it uses less digits than its factorization.

1691290148568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333 (or 12329 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 1691290148568 in words is "one trillion, six hundred ninety-one billion, two hundred ninety million, one hundred forty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 852 1704 2201 3803 4402 6603 7606 8419 8804 11409 13206 15212 16838 17608 22818 25257 26412 30424 33676 45636 50514 52824 67352 91272 101028 117893 202056 235786 260989 270013 353679 471572 521978 540026 597749 707358 782967 810039 943144 1043956 1080052 1195498 1414716 1565934 1620078 1793247 2087912 2160104 2390996 2829432 3131868 3240156 3586494 4781992 6263736 6480312 7172988 8370403 14345976 16740806 18530219 25111209 32017457 33481612 37060438 50222418 55590657 64034914 66963224 74120876 96052371 100444836 111181314 128069828 148241752 192104742 200889672 222362628 256139656 384209484 444725256 768418968 992541167 1985082334 2273239447 2977623501 3970164668 4546478894 5955247002 6819718341 7940329336 9092957788 11910494004 13639436682 18185915576 23820988008 27278873364 54557746728 70470422857 140940845714 211411268571 281881691428 422822537142 563763382856 845645074284 1691290148568