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44960422464 = 263459914479
BaseRepresentation
bin101001110111110110…
…011001101001000000
311022001100222002220000
4221313312121221000
51214034332004324
632353213520000
73151106166606
oct516766315100
9138040862800
1044960422464
1118081a93941
1288691a3000
134316964999
1422672c9876
1512822219c9
hexa77d99a40

44960422464 has 140 divisors (see below), whose sum is σ = 133508496000. Its totient is φ = 14960754432.

The previous prime is 44960422433. The next prime is 44960422483. The reversal of 44960422464 is 46422406944.

44960422464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×449604224643 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3097977 + ... + 3112455.

Almost surely, 244960422464 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 44960422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66754248000).

44960422464 is an abundant number, since it is smaller than the sum of its proper divisors (88548073536).

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

44960422464 is a wasteful number, since it uses less digits than its factorization.

44960422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15102 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 44960422464 in words is "forty-four billion, nine hundred sixty million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 599 648 864 1198 1296 1728 1797 2396 2592 3594 4792 5184 5391 7188 9584 10782 14376 14479 16173 19168 21564 28752 28958 32346 38336 43128 43437 48519 57504 57916 64692 86256 86874 97038 115008 115832 129384 130311 172512 173748 194076 231664 258768 260622 345024 347496 388152 390933 463328 517536 521244 694992 776304 781866 926656 1035072 1042488 1172799 1389984 1552608 1563732 2084976 2345598 2779968 3105216 3127464 4169952 4691196 6254928 8339904 8672921 9382392 12509856 17345842 18764784 25019712 26018763 34691684 37529568 52037526 69383368 75059136 78056289 104075052 138766736 156112578 208150104 234168867 277533472 312225156 416300208 468337734 555066944 624450312 702506601 832600416 936675468 1248900624 1405013202 1665200832 1873350936 2497801248 2810026404 3746701872 4995602496 5620052808 7493403744 11240105616 14986807488 22480211232 44960422464