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42573048120 = 2333573539993
BaseRepresentation
bin100111101001100011…
…010010100100111000
311001212222200220222000
4213221203102210320
51144142200014440
631320252101000
73034666636551
oct475143224470
9131788626860
1042573048120
1117067415199
128301764760
134026179a45
1420bc1d5328
151192841730
hex9e98d2938

42573048120 has 128 divisors (see below), whose sum is σ = 143854401600. Its totient is φ = 11197274112.

The previous prime is 42573048101. The next prime is 42573048121. The reversal of 42573048120 is 2184037524.

It is a happy number.

42573048120 is a `hidden beast` number, since 4 + 2 + 573 + 0 + 4 + 81 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42573048121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191157 + ... + 348836.

Almost surely, 242573048120 is an apocalyptic number.

42573048120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42573048120 is an abundant number, since it is smaller than the sum of its proper divisors (101281353480).

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

42573048120 is a wasteful number, since it uses less digits than its factorization.

42573048120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540086 (or 540076 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42573048120 in words is "forty-two billion, five hundred seventy-three million, forty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 6570 7884 8760 9855 13140 15768 19710 26280 39420 78840 539993 1079986 1619979 2159972 2699965 3239958 4319944 4859937 5399930 6479916 8099895 9719874 10799860 12959832 14579811 16199790 19439748 21599720 24299685 29159622 32399580 38879496 39419489 48599370 58319244 64799160 72899055 78838978 97198740 116638488 118258467 145798110 157677956 194397480 197097445 236516934 291596220 315355912 354775401 394194890 473033868 583192440 591292335 709550802 788389780 946067736 1064326203 1182584670 1419101604 1576779560 1773877005 2128652406 2365169340 2838203208 3547754010 4257304812 4730338680 5321631015 7095508020 8514609624 10643262030 14191016040 21286524060 42573048120