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42212546865 = 3253724761239
BaseRepresentation
bin100111010100000100…
…000101100100110001
311000221212100120012200
4213110010011210301
51142422402444430
631220413213413
73023031504516
oct472404054461
9130855316180
1042212546865
11169a1978275
128220a91269
133c99587aa8
14208639330d
151170d81460
hex9d4105931

42212546865 has 144 divisors (see below), whose sum is σ = 78384983040. Its totient is φ = 20999139840.

The previous prime is 42212546851. The next prime is 42212546903. The reversal of 42212546865 is 56864521224.

42212546865 is a `hidden beast` number, since 4 + 2 + 2 + 125 + 468 + 65 = 666.

It is not a de Polignac number, because 42212546865 - 217 = 42212415793 is a prime.

It is a super-2 number, since 2×422125468652 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42212546865.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176621416 + ... + 176621654.

It is an arithmetic number, because the mean of its divisors is an integer number (544340160).

Almost surely, 242212546865 is an apocalyptic number.

42212546865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42212546865 is a deficient number, since it is larger than the sum of its proper divisors (36172436175).

42212546865 is a wasteful number, since it uses less digits than its factorization.

42212546865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 392 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 42212546865 in words is "forty-two billion, two hundred twelve million, five hundred forty-six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 47 61 111 141 183 185 235 239 305 333 423 549 555 705 717 915 1195 1369 1665 1739 2115 2151 2257 2745 2867 3585 4107 5217 6771 6845 8601 8695 8843 10755 11233 11285 12321 14335 14579 15651 20313 20535 25803 26085 26529 33699 33855 43005 43737 44215 56165 61605 64343 72895 78255 79587 83509 101097 101565 106079 129015 131211 132645 168495 193029 218685 250527 318237 321715 327191 397935 415621 417545 505485 530395 539423 579087 656055 685213 751581 954711 965145 981573 1246863 1252635 1591185 1618269 1635955 2055639 2078105 2697115 2895435 2944719 3426065 3740589 3757905 3924923 4773555 4854807 4907865 6166917 6234315 8091345 10278195 11774769 14723595 15377977 18702945 19624615 19958651 24274035 25352881 30834585 35324307 46133931 58873845 59875953 76058643 76889885 99793255 126764405 138401793 176621535 179627859 228175929 230669655 299379765 380293215 692008965 898139295 938056597 1140879645 2814169791 4690282985 8442509373 14070848955 42212546865