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42466465500 = 223531933832
BaseRepresentation
bin100111100011001100…
…101101011011011100
311001121120010222002120
4213203030231123130
51143432403344000
631301523422540
73032234000214
oct474314553334
9131546128076
1042466465500
1117012238088
128291b24a50
13400a06ccc4
1420abdad244
1511882db6a0
hex9e332d6dc

42466465500 has 144 divisors (see below), whose sum is σ = 124628483616. Its totient is φ = 11236300800.

The previous prime is 42466465499. The next prime is 42466465567. The reversal of 42466465500 is 556466424.

It is a congruent number.

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, 110878309 + ... + 110878691.

Almost surely, 242466465500 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 42466465500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62314241808).

42466465500 is an abundant number, since it is smaller than the sum of its proper divisors (82162018116).

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

42466465500 is a wasteful number, since it uses less digits than its factorization.

42466465500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 42466465500 in words is "forty-two billion, four hundred sixty-six million, four hundred sixty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 193 250 300 375 383 386 500 579 750 766 772 965 1149 1158 1500 1532 1915 1930 2298 2316 2895 3830 3860 4596 4825 5745 5790 7660 9575 9650 11490 11580 14475 19150 19300 22980 24125 28725 28950 38300 47875 48250 57450 57900 72375 73919 95750 96500 114900 143625 144750 146689 147838 191500 221757 287250 289500 293378 295676 369595 440067 443514 574500 586756 733445 739190 880134 887028 1108785 1466890 1478380 1760268 1847975 2200335 2217570 2933780 3667225 3695950 4400670 4435140 5543925 7334450 7391900 8801340 9239875 11001675 11087850 14668900 18336125 18479750 22003350 22175700 27719625 28310977 36672250 36959500 44006700 55008375 55439250 56621954 73344500 84932931 110016750 110878500 113243908 141554885 169865862 220033500 283109770 339731724 424664655 566219540 707774425 849329310 1415548850 1698658620 2123323275 2831097700 3538872125 4246646550 7077744250 8493293100 10616616375 14155488500 21233232750 42466465500