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42423502132206 = 23213436389659917
BaseRepresentation
bin10011010010101011111011…
…10001100101001111101110
312120012122110210202020202100
421221111331301211033232
521030031313021212311
6230121030545435530
711635665634216506
oct1151257561451756
9176178423666670
1042423502132206
1112576784a80008
124911b6103bba6
131a89699579a70
14a694465a8a06
154d87eca3ca56
hex26957dc653ee

42423502132206 has 96 divisors (see below), whose sum is σ = 101306229504480. Its totient is φ = 12747803265792.

The previous prime is 42423502132199. The next prime is 42423502132213. The reversal of 42423502132206 is 60223120532424.

42423502132206 is a `hidden beast` number, since 4 + 2 + 4 + 235 + 0 + 213 + 2 + 206 = 666.

It is an interprime number because it is at equal distance from previous prime (42423502132199) and next prime (42423502132213).

It is a super-2 number, since 2×424235021322062 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

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, 63956160 + ... + 64616076.

It is an arithmetic number, because the mean of its divisors is an integer number (1055273224005).

Almost surely, 242423502132206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42423502132206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50653114752240).

42423502132206 is an abundant number, since it is smaller than the sum of its proper divisors (58882727372274).

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

42423502132206 is a wasteful number, since it uses less digits than its factorization.

42423502132206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666370 (or 666367 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42423502132206 in words is "forty-two trillion, four hundred twenty-three billion, five hundred two million, one hundred thirty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 6389 10062 12778 19167 38334 57501 83057 115002 166114 249171 274727 498342 549454 659917 747513 824181 1319834 1495026 1648362 1979751 2472543 3571451 3959502 4945086 5939253 7142902 8578921 10714353 11878506 17157842 21428706 25736763 28376431 32143059 51473526 56752862 64286118 77210289 85129293 154420578 170258586 255387879 368893603 510775758 737787206 1106680809 2213361618 3320042427 4216209713 6640084854 8432419426 12648629139 25297258278 37945887417 54810726269 75891774834 109621452538 164432178807 181297017659 328864357614 362594035318 493296536421 543891052977 986593072842 1087782105954 1631673158931 2356861229567 3263346317862 4713722459134 7070583688701 14141167377402 21211751066103 42423502132206