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42129629500 = 2253717708061
BaseRepresentation
bin100111001111000111…
…110010000100111100
311000202002022220222011
4213033013302010330
51142240141121000
631204252101004
73021003641110
oct471707620474
9130662286864
1042129629500
111695a094222
1281b9164764
133c8534586a
14207936b740
1511689532ba
hex9cf1f213c

42129629500 has 96 divisors (see below), whose sum is σ = 111341333376. Its totient is φ = 13594752000.

The previous prime is 42129629497. The next prime is 42129629513. The reversal of 42129629500 is 592692124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294531 + ... + 413530.

It is an arithmetic number, because the mean of its divisors is an integer number (1159805556).

Almost surely, 242129629500 is an apocalyptic number.

It is an amenable number.

42129629500 is an abundant number, since it is smaller than the sum of its proper divisors (69211703876).

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

42129629500 is a wasteful number, since it uses less digits than its factorization.

42129629500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708104 (or 708092 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 42129629500 in words is "forty-two billion, one hundred twenty-nine million, six hundred twenty-nine thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 125 140 170 175 238 250 340 350 425 476 500 595 700 850 875 1190 1700 1750 2125 2380 2975 3500 4250 5950 8500 11900 14875 29750 59500 708061 1416122 2832244 3540305 4956427 7080610 9912854 12037037 14161220 17701525 19825708 24074074 24782135 35403050 48148148 49564270 60185185 70806100 84259259 88507625 99128540 120370370 123910675 168518518 177015250 240740740 247821350 300925925 337037036 354030500 421296295 495642700 601851850 619553375 842592590 1203703700 1239106750 1504629625 1685185180 2106481475 2478213500 3009259250 4212962950 6018518500 8425925900 10532407375 21064814750 42129629500