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42605534433 = 3711672181227
BaseRepresentation
bin100111101011011111…
…001101110011100001
311001222020211101210210
4213223133031303201
51144224004100213
631323412244333
73035543032050
oct475337156341
9131866741723
1042605534433
1117083793690
1283106106a9
13402cb12607
1420c2650397
15119560c0c3
hex9eb7cdce1

42605534433 has 96 divisors (see below), whose sum is σ = 72613352448. Its totient is φ = 21586435200.

The previous prime is 42605534429. The next prime is 42605534459. The reversal of 42605534433 is 33443550624.

It is not a de Polignac number, because 42605534433 - 22 = 42605534429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42605534391 and 42605534400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42605534333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187689466 + ... + 187689692.

It is an arithmetic number, because the mean of its divisors is an integer number (756389088).

Almost surely, 242605534433 is an apocalyptic number.

It is an amenable number.

42605534433 is a deficient number, since it is larger than the sum of its proper divisors (30007818015).

42605534433 is a wasteful number, since it uses less digits than its factorization.

42605534433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

The spelling of 42605534433 in words is "forty-two billion, six hundred five million, five hundred thirty-four thousand, four hundred thirty-three".

Divisors: 1 3 7 11 21 33 67 77 181 201 227 231 469 543 681 737 1267 1407 1589 1991 2211 2497 3801 4489 4767 5159 5973 7491 12127 13467 13937 15209 15477 17479 31423 36381 41087 41811 45627 49379 52437 84889 94269 106463 123261 133397 148137 167299 254667 287609 319389 345653 400191 451957 501897 812509 862827 933779 1019003 1036959 1171093 1355871 2437527 2752829 2801337 3057009 3163699 3513279 5687563 7133021 8258487 8937599 9491097 11209033 17062689 19269803 21399063 26812797 30281119 33627099 57809409 62563193 78463231 90843357 184439543 187689579 211967833 235389693 553318629 635903499 1291076801 2028834973 3873230403 6086504919 14201844811 42605534433