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42204669462 = 234417518461
BaseRepresentation
bin100111010011100110…
…000010011000010110
311000221022112100110000
4213103212002120112
51142413343410322
631215532312130
73022604525364
oct472346023026
9130838470400
1042204669462
111699848791a
12821a312646
133c97a5a3c7
142085302634
1511703273ac
hex9d3982616

42204669462 has 80 divisors (see below), whose sum is σ = 97016762304. Its totient is φ = 13705200000.

The previous prime is 42204669457. The next prime is 42204669469. The reversal of 42204669462 is 26496640224.

42204669462 is a `hidden beast` number, since 42 + 2 + 0 + 466 + 94 + 62 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204669469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4983912 + ... + 4992372.

Almost surely, 242204669462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42204669462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48508381152).

42204669462 is an abundant number, since it is smaller than the sum of its proper divisors (54812092842).

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

42204669462 is a wasteful number, since it uses less digits than its factorization.

42204669462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9267 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 42204669462 in words is "forty-two billion, two hundred four million, six hundred sixty-nine thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 751 1107 1502 2214 2253 3321 4506 6642 6759 8461 13518 16922 20277 25383 30791 40554 50766 60831 61582 76149 92373 121662 152298 184746 228447 277119 346901 456894 554238 685341 693802 831357 1040703 1370682 1662714 2081406 2494071 3122109 4988142 6244218 6354211 9366327 12708422 18732654 19062633 28098981 38125266 56197962 57187899 114375798 171563697 260522651 343127394 514691091 521045302 781567953 1029382182 1563135906 2344703859 4689407718 7034111577 14068223154 21102334731 42204669462