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66165506000 = 24531122713249
BaseRepresentation
bin111101100111110001…
…010111111111010000
320022210012001221222022
4331213301113333100
52041001332143000
650221312231012
74531433343566
oct754761277720
9208705057868
1066165506000
1126073780a70
12109a683b468
136315bc38a9
1432b9665a36
151ac3b7e585
hexf67c57fd0

66165506000 has 160 divisors (see below), whose sum is σ = 175314672000. Its totient is φ = 23952384000.

The previous prime is 66165505999. The next prime is 66165506041. The reversal of 66165506000 is 60556166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987376 + ... + 5000624.

It is an arithmetic number, because the mean of its divisors is an integer number (1095716700).

Almost surely, 266165506000 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 66165506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87657336000).

66165506000 is an abundant number, since it is smaller than the sum of its proper divisors (109149166000).

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

66165506000 is a wasteful number, since it uses less digits than its factorization.

66165506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 66165506000 in words is "sixty-six billion, one hundred sixty-five million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 227 250 275 400 440 454 500 550 880 908 1000 1100 1135 1375 1816 2000 2200 2270 2497 2750 3632 4400 4540 4994 5500 5675 9080 9988 11000 11350 12485 13249 18160 19976 22000 22700 24970 26498 28375 39952 45400 49940 52996 56750 62425 66245 90800 99880 105992 113500 124850 132490 145739 199760 211984 227000 249700 264980 291478 312125 331225 454000 499400 529960 582956 624250 662450 728695 998800 1059920 1165912 1248500 1324900 1457390 1656125 2331824 2497000 2649800 2914780 3007523 3312250 3643475 4994000 5299600 5829560 6015046 6624500 7286950 11659120 12030092 13249000 14573900 15037615 18217375 24060184 26498000 29147800 30075230 33082753 36434750 48120368 58295600 60150460 66165506 72869500 75188075 120300920 132331012 145739000 150376150 165413765 240601840 264662024 291478000 300752300 330827530 375940375 529324048 601504600 661655060 751880750 827068825 1203009200 1323310120 1503761500 1654137650 2646620240 3007523000 3308275300 4135344125 6015046000 6616550600 8270688250 13233101200 16541376500 33082753000 66165506000