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16460742035240 = 235191491069135979
BaseRepresentation
bin1110111110001001000010…
…1011101000011100101000
32011021122001102012021110022
43233202100223220130220
54124143044430111430
655001543244540012
73316151350501316
oct357422053503450
964248042167408
1016460742035240
115276a63825998
121a1a251251608
1392531a21cc29
1440c9c03310b6
151d82ad24e4e5
hexef890ae8728

16460742035240 has 128 divisors (see below), whose sum is σ = 39284622000000. Its totient is φ = 6190049258496.

The previous prime is 16460742035239. The next prime is 16460742035263. The reversal of 16460742035240 is 4253024706461.

It is a junction number, because it is equal to n+sod(n) for n = 16460742035191 and 16460742035200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120985571 + ... + 121121549.

It is an arithmetic number, because the mean of its divisors is an integer number (306911109375).

Almost surely, 216460742035240 is an apocalyptic number.

16460742035240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16460742035240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642311000000).

16460742035240 is an abundant number, since it is smaller than the sum of its proper divisors (22823879964760).

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

16460742035240 is a wasteful number, since it uses less digits than its factorization.

16460742035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137227 (or 137223 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 16460742035240 in words is "sixteen trillion, four hundred sixty billion, seven hundred forty-two million, thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 149 152 190 298 380 596 745 760 1069 1192 1490 2138 2831 2980 4276 5345 5662 5960 8552 10690 11324 14155 20311 21380 22648 28310 40622 42760 56620 81244 101555 113240 135979 159281 162488 203110 271958 318562 406220 543916 637124 679895 796405 812440 1087832 1274248 1359790 1592810 2583601 2719580 3026339 3185620 5167202 5439160 6052678 6371240 10334404 12105356 12918005 15131695 20260871 20668808 24210712 25836010 30263390 40521742 51672020 60526780 81043484 101304355 103344040 121053560 145361551 162086968 202608710 290723102 384956549 405217420 581446204 726807755 769913098 810434840 1162892408 1453615510 1539826196 1924782745 2761869469 2907231020 3079652392 3849565490 5523738938 5814462040 7699130980 11047477876 13809347345 15398261960 21658871099 22094955752 27618694690 43317742198 55237389380 86635484396 108294355495 110474778760 173270968792 216588710990 411518550881 433177421980 823037101762 866354843960 1646074203524 2057592754405 3292148407048 4115185508810 8230371017620 16460742035240