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42734549760 = 283571589827
BaseRepresentation
bin100111110011001011…
…010111101100000000
311002022020121001120020
4213303023113230000
51200010021043020
631344301413440
73042000452040
oct476313275400
9132266531506
1042734549760
111713a5a2821
12834786a280
134050774b46
1420d5835720
1511a1ae3c40
hex9f32d7b00

42734549760 has 144 divisors (see below), whose sum is σ = 155981204736. Its totient is φ = 9767890944.

The previous prime is 42734549717. The next prime is 42734549773. The reversal of 42734549760 is 6794543724.

It is a happy number.

42734549760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768034 + ... + 821793.

Almost surely, 242734549760 is an apocalyptic number.

42734549760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42734549760 is an abundant number, since it is smaller than the sum of its proper divisors (113246654976).

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

42734549760 is a wasteful number, since it uses less digits than its factorization.

42734549760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589858 (or 1589844 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 42734549760 in words is "forty-two billion, seven hundred thirty-four million, five hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 1589827 3179654 4769481 6359308 7949135 9538962 11128789 12718616 15898270 19077924 22257578 23847405 25437232 31796540 33386367 38155848 44515156 47694810 50874464 55643945 63593080 66772734 76311696 89030312 95389620 101748928 111287890 127186160 133545468 152623392 166931835 178060624 190779240 203497856 222575780 254372320 267090936 305246784 333863670 356121248 381558480 406995712 445151560 508744640 534181872 610493568 667727340 712242496 763116960 890303120 1017489280 1068363744 1220987136 1335454680 1424484992 1526233920 1780606240 2034978560 2136727488 2670909360 2848969984 3052467840 3561212480 4273454976 5341818720 6104935680 7122424960 8546909952 10683637440 14244849920 21367274880 42734549760