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61461661550212 = 22711432379284759
BaseRepresentation
bin11011111100110001010001…
…00000010000011010000100
322001121200021212110121121001
431332120220200100122010
531023441440324101322
6334415033022103044
715642313161215050
oct1576305040203204
9261550255417531
1061461661550212
1118646820708750
126a8782211aa84
13283aa6b218a41
141126a9034cc60
15718b5b271827
hex37e628810684

61461661550212 has 144 divisors (see below), whose sum is σ = 137651981644800. Its totient is φ = 23327420921280.

The previous prime is 61461661550207. The next prime is 61461661550239. The reversal of 61461661550212 is 21205516616416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215695089 + ... + 215979847.

It is an arithmetic number, because the mean of its divisors is an integer number (955916539200).

Almost surely, 261461661550212 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 61461661550212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68825990822400).

61461661550212 is an abundant number, since it is smaller than the sum of its proper divisors (76190320094588).

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

61461661550212 is a wasteful number, since it uses less digits than its factorization.

61461661550212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285246 (or 285201 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 61461661550212 in words is "sixty-one trillion, four hundred sixty-one billion, six hundred sixty-one million, five hundred fifty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 379 473 602 758 946 1204 1516 1849 1892 2653 3311 3698 4169 5306 6622 7396 8338 10612 12943 13244 16297 16676 20339 25886 29183 32594 40678 51772 58366 65188 81356 114079 116732 142373 179267 228158 284746 284759 358534 456316 569492 569518 700771 717068 1139036 1254869 1401542 1993313 2509738 2803084 3132349 3986626 4905397 5019476 6264698 7708481 7973252 9810794 12244637 12529396 15416962 19621588 21926443 24489274 30833924 43852886 48978548 53959367 85712459 87705772 107918734 107923661 134691007 171424918 215837468 215847322 269382014 342849836 431694644 526519391 538764028 755465627 942837049 1053038782 1187160271 1510931254 1885674098 2106077564 2374320542 3021862508 3685635737 3771348196 4640717423 4748641084 5791713301 7371271474 8310121897 9281434846 11583426602 14742542948 16620243794 18562869692 23166853204 32485021961 33240487588 40541993107 51047891653 64970043922 81083986214 102095783306 129940087844 162167972428 199550849189 204191566612 357335241571 399101698378 714670483142 798203396756 1396855944323 1429340966284 2195059341079 2793711888646 4390118682158 5587423777292 8780237364316 15365415387553 30730830775106 61461661550212