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840089735472 = 2431329103450719
BaseRepresentation
bin11000011100110010100…
…00000001000100110000
32222022102022001022102010
430032121100001010300
5102231000433013342
61441533142322520
7114460130634201
oct14163120010460
92868368038363
10840089735472
112a4309833389
12116994429440
13612b27ba640
142c9368115a8
1516cbcb0229c
hexc399401130

840089735472 has 160 divisors (see below), whose sum is σ = 2441243750400. Its totient is φ = 247152116736.

The previous prime is 840089735467. The next prime is 840089735491. The reversal of 840089735472 is 274537980048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638529 + ... + 2089247.

It is an arithmetic number, because the mean of its divisors is an integer number (15257773440).

Almost surely, 2840089735472 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 840089735472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220621875200).

840089735472 is an abundant number, since it is smaller than the sum of its proper divisors (1601154014928).

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

840089735472 is a wasteful number, since it uses less digits than its factorization.

840089735472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450875 (or 450869 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 840089735472 in words is "eight hundred forty billion, eighty-nine million, seven hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 103 104 116 156 174 206 208 232 309 312 348 377 412 464 618 624 696 754 824 1131 1236 1339 1392 1508 1648 2262 2472 2678 2987 3016 4017 4524 4944 5356 5974 6032 8034 8961 9048 10712 11948 16068 17922 18096 21424 23896 32136 35844 38831 47792 64272 71688 77662 116493 143376 155324 232986 310648 450719 465972 621296 901438 931944 1352157 1802876 1863888 2704314 3605752 5408628 5859347 7211504 10817256 11718694 13070851 17578041 21634512 23437388 26141702 35156082 39212553 46424057 46874776 52283404 70312164 78425106 92848114 93749552 104566808 139272171 140624328 156850212 169921063 185696228 209133616 278544342 281248656 313700424 339842126 371392456 509763189 557088684 603512741 627400848 679684252 742784912 1019526378 1114177368 1207025482 1346297653 1359368504 1810538223 2039052756 2228354736 2414050964 2692595306 2718737008 3621076446 4038892959 4078105512 4828101928 5385190612 7242152892 8077785918 8156211024 9656203856 10770381224 14484305784 16155571836 17501869489 21540762448 28968611568 32311143672 35003738978 52505608467 64622287344 70007477956 105011216934 140014955912 210022433868 280029911824 420044867736 840089735472