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42763718646 = 2321119109104287
BaseRepresentation
bin100111110100111010…
…101000111111110110
311002101021110222202100
4213310322220333312
51200040002444041
631351222522530
73042503416365
oct476472507766
9132337428670
1042763718646
1117155005840
128355596446
13405681873c
1420d96697dc
1511a44566b6
hex9f4ea8ff6

42763718646 has 96 divisors (see below), whose sum is σ = 107374924800. Its totient is φ = 12163919040.

The previous prime is 42763718633. The next prime is 42763718651. The reversal of 42763718646 is 64681736724.

42763718646 is a `hidden beast` number, since 427 + 6 + 37 + 186 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42763718592 and 42763718601.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 357915 + ... + 462201.

It is an arithmetic number, because the mean of its divisors is an integer number (1118488800).

Almost surely, 242763718646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42763718646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687462400).

42763718646 is an abundant number, since it is smaller than the sum of its proper divisors (64611206154).

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

42763718646 is a wasteful number, since it uses less digits than its factorization.

42763718646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104434 (or 104431 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 42763718646 in words is "forty-two billion, seven hundred sixty-three million, seven hundred eighteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 109 114 171 198 209 218 327 342 418 627 654 981 1199 1254 1881 1962 2071 2398 3597 3762 4142 6213 7194 10791 12426 18639 21582 22781 37278 45562 68343 104287 136686 205029 208574 312861 410058 625722 938583 1147157 1877166 1981453 2294314 3441471 3962906 5944359 6882942 10324413 11367283 11888718 17833077 20648826 21795983 22734566 34101849 35666154 43591966 65387949 68203698 102305547 125040113 130775898 196163847 204611094 215978377 250080226 375120339 392327694 431956754 647935131 750240678 1125361017 1295870262 1943805393 2250722034 2375762147 3887610786 4751524294 7127286441 14254572882 21381859323 42763718646