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42165804912 = 24371111408497
BaseRepresentation
bin100111010001010001…
…110001111101110000
311000211121101211022020
4213101101301331300
51142323421224122
631212023311440
73021623266560
oct472121617560
9130747354266
1042165804912
1116978552360
1282092ab580
133c8c9a062a
1420800a6da0
15116bbebc5c
hex9d1471f70

42165804912 has 80 divisors (see below), whose sum is σ = 135806760192. Its totient is φ = 10952156160.

The previous prime is 42165804911. The next prime is 42165804931. The reversal of 42165804912 is 21940856124.

42165804912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42165804911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5700553 + ... + 5707944.

Almost surely, 242165804912 is an apocalyptic number.

42165804912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42165804912 is an abundant number, since it is smaller than the sum of its proper divisors (93640955280).

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

42165804912 is a wasteful number, since it uses less digits than its factorization.

42165804912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408526 (or 11408520 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 42165804912 in words is "forty-two billion, one hundred sixty-five million, eight hundred four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 11408497 22816994 34225491 45633988 68450982 79859479 91267976 125493467 136901964 159718958 182535952 239578437 250986934 273803928 319437916 376480401 479156874 501973868 547607856 638875832 752960802 878454269 958313748 1003947736 1277751664 1505921604 1756908538 1916627496 2007895472 2635362807 3011843208 3513817076 3833254992 5270725614 6023686416 7027634152 10541451228 14055268304 21082902456 42165804912