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84461223205242 = 23413192110791803
BaseRepresentation
bin10011001101000100101001…
…001101001101100101111010
3102002001102011212101011110000
4103031010221031031211322
542032303041120031432
6455344541132333430
723535056563516302
oct2315045115154572
9362042155334400
1084461223205242
1124a03892666394
129581198914276
133818875283940
1416bdd3319a602
159b706c11157c
hex4cd12934d97a

84461223205242 has 80 divisors (see below), whose sum is σ = 214540878958560. Its totient is φ = 24620275578528.

The previous prime is 84461223205241. The next prime is 84461223205279. The reversal of 84461223205242 is 24250232216448.

It is a happy number.

84461223205242 is a `hidden beast` number, since 8 + 4 + 4 + 61 + 22 + 320 + 5 + 242 = 666.

It is not an unprimeable number, because it can be changed into a prime (84461223205241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1055355888 + ... + 1055435915.

It is an arithmetic number, because the mean of its divisors is an integer number (2681760986982).

Almost surely, 284461223205242 is an apocalyptic number.

84461223205242 is an abundant number, since it is smaller than the sum of its proper divisors (130079655753318).

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

84461223205242 is a wasteful number, since it uses less digits than its factorization.

84461223205242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110791849 (or 2110791840 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 84461223205242 in words is "eighty-four trillion, four hundred sixty-one billion, two hundred twenty-three million, two hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 4446 6669 13338 20007 40014 2110791803 4221583606 6332375409 12664750818 18997126227 27440293439 37994252454 40105044257 54880586878 56991378681 80210088514 82320880317 113982757362 120315132771 164641760634 170974136043 240630265542 246962640951 341948272086 360945398313 493925281902 521365575341 721890796626 740887922853 1042731150682 1082836194939 1481775845706 1564096726023 2165672389878 2222663768559 3128193452046 3248508584817 4445327537118 4692290178069 6497017169634 9384580356138 14076870534207 28153741068414 42230611602621 84461223205242