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42125067218007 = 3417253157216263
BaseRepresentation
bin10011001010000000000011…
…01010101110110001010111
312112011010011100210211010000
421211000001222232301113
521010134114201434012
6225331553321502343
711605302302260404
oct1145000152566127
9175133140724100
1042125067218007
1112471160278954
1248841539419b3
131a674b8a7b237
14a58c1526d2ab
154d0b82982ddc
hex265001aaec57

42125067218007 has 120 divisors (see below), whose sum is σ = 68542323749856. Its totient is φ = 25767413148672.

The previous prime is 42125067217949. The next prime is 42125067218053. The reversal of 42125067218007 is 70081276052124.

42125067218007 is a `hidden beast` number, since 42 + 1 + 2 + 506 + 7 + 21 + 80 + 0 + 7 = 666.

It is not a de Polignac number, because 42125067218007 - 219 = 42125066693719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125067218057) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 194678158 + ... + 194894420.

Almost surely, 242125067218007 is an apocalyptic number.

42125067218007 is a deficient number, since it is larger than the sum of its proper divisors (26417256531849).

42125067218007 is a wasteful number, since it uses less digits than its factorization.

42125067218007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216519 (or 216493 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 42125067218007 in words is "forty-two trillion, one hundred twenty-five billion, sixty-seven million, two hundred eighteen thousand, seven".

Divisors: 1 3 9 17 27 51 53 81 153 157 159 289 459 471 477 867 901 1377 1413 1431 2601 2669 2703 4239 4293 7803 8007 8109 8321 12717 15317 23409 24021 24327 24963 45373 45951 72063 72981 74889 136119 137853 141457 216189 216263 224667 408357 413559 424371 648789 674001 1225071 1240677 1273113 1946367 2404769 3675213 3676471 3819339 5839101 7214307 11029413 11458017 11461939 17517303 21642921 33088239 33953291 34385817 62500007 64928763 99264717 101859873 103157451 187500021 194786289 194852963 297794151 305579619 309472353 562500063 577205947 584558889 916738857 928417059 1687500189 1731617841 1753676667 1799524423 2750216571 3312500371 5062500567 5194853523 5261030001 5398573269 9812501099 9937501113 15584560569 15783090003 16195719807 29437503297 29812503339 30591915191 46753681707 48587159421 88312509891 89437510017 91775745573 145761478263 264937529673 268312530051 275327236719 520062558247 794812589019 825981710157 1560187674741 2477945130471 4680563024223 14041689072669 42125067218007