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671141444076 = 2232377315743963
BaseRepresentation
bin10011100010000110010…
…01011011100111101100
32101011100000000212021100
421301003021123213230
541443444202202301
61232152414203100
766326340101655
oct11610311334754
92334300025240
10671141444076
112396a1937484
12aa0a3ab3490
134b39970674c
14246aa70652c
15126d079e286
hex9c4325b9ec

671141444076 has 144 divisors (see below), whose sum is σ = 1777505670304. Its totient is φ = 213313471488.

The previous prime is 671141444059. The next prime is 671141444087. The reversal of 671141444076 is 670444141176.

671141444076 is a `hidden beast` number, since 67 + 1 + 141 + 4 + 440 + 7 + 6 = 666.

671141444076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 15244071 + ... + 15288033.

Almost surely, 2671141444076 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 671141444076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888752835152).

671141444076 is an abundant number, since it is smaller than the sum of its proper divisors (1106364226228).

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

671141444076 is a wasteful number, since it uses less digits than its factorization.

671141444076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44240 (or 44235 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 671141444076 in words is "six hundred seventy-one billion, one hundred forty-one million, four hundred forty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 157 219 222 292 314 333 438 444 471 628 657 666 876 942 1314 1332 1413 1884 2628 2701 2826 5402 5652 5809 8103 10804 11461 11618 16206 17427 22922 23236 24309 32412 34383 34854 43963 45844 48618 52281 68766 69708 87926 97236 103149 104562 131889 137532 175852 206298 209124 263778 395667 412596 424057 527556 791334 848114 1272171 1582668 1626631 1696228 2544342 3209299 3253262 3816513 4879893 5088684 6418598 6506524 6902191 7633026 9627897 9759786 12837196 13804382 14639679 15266052 19255794 19519572 20706573 27608764 28883691 29279358 38511588 41413146 57767382 58558716 62119719 82826292 115534764 118744063 124239438 237488126 248478876 255381067 356232189 474976252 503859943 510762134 712464378 766143201 1007719886 1021524268 1068696567 1424928756 1511579829 1532286402 2015439772 2137393134 2298429603 3023159658 3064572804 4274786268 4534739487 4596859206 6046319316 9069478974 9193718412 18138957948 18642817891 37285635782 55928453673 74571271564 111856907346 167785361019 223713814692 335570722038 671141444076