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66805422192 = 24332953100613
BaseRepresentation
bin111110001101111010…
…011101100001110000
320101102210012001222000
4332031322131201300
52043304142002232
650405012014000
74553333501505
oct761572354160
9211383161860
1066805422192
1126371a12523
1210b45001300
1363b8656b22
14333a63d4ac
151b0ee3427c
hexf8de9d870

66805422192 has 160 divisors (see below), whose sum is σ = 202113403200. Its totient is φ = 21094714368.

The previous prime is 66805422191. The next prime is 66805422227. The reversal of 66805422192 is 29122450866.

66805422192 is a `hidden beast` number, since 6 + 6 + 80 + 542 + 21 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66805422191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613678 + ... + 714290.

It is an arithmetic number, because the mean of its divisors is an integer number (1263208770).

Almost surely, 266805422192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66805422192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056701600).

66805422192 is an abundant number, since it is smaller than the sum of its proper divisors (135307981008).

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

66805422192 is a wasteful number, since it uses less digits than its factorization.

66805422192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100712 (or 100700 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66805422192 in words is "sixty-six billion, eight hundred five million, four hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 106 108 116 144 159 174 212 216 232 261 318 348 424 432 464 477 522 636 696 783 848 954 1044 1272 1392 1431 1537 1566 1908 2088 2544 2862 3074 3132 3816 4176 4611 5724 6148 6264 7632 9222 11448 12296 12528 13833 18444 22896 24592 27666 36888 41499 55332 73776 82998 100613 110664 165996 201226 221328 301839 331992 402452 603678 663984 804904 905517 1207356 1609808 1811034 2414712 2716551 2917777 3622068 4829424 5332489 5433102 5835554 7244136 8753331 10664978 10866204 11671108 14488272 15997467 17506662 21329956 21732408 23342216 26259993 31994934 35013324 42659912 43464816 46684432 47992401 52519986 63989868 70026648 78779979 85319824 95984802 105039972 127979736 140053296 143977203 154642181 157559958 191969604 210079944 255959472 287954406 309284362 315119916 383939208 420159888 463926543 575908812 618568724 630239832 767878416 927853086 1151817624 1237137448 1260479664 1391779629 1855706172 2303635248 2474274896 2783559258 3711412344 4175338887 5567118516 7422824688 8350677774 11134237032 16701355548 22268474064 33402711096 66805422192