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66930033780 = 22335127975941
BaseRepresentation
bin111110010101010101…
…110100010001110100
320101202110122222221000
4332111111310101310
52044033042040110
650425222523300
74556405620551
oct762525642164
9211673588830
1066930033780
1126426294005
1210b7a896530
136408406aac
14334cdd9a28
151b1ad4b1c0
hexf95574474

66930033780 has 96 divisors (see below), whose sum is σ = 209866567680. Its totient is φ = 17707455360.

The previous prime is 66930033697. The next prime is 66930033799. The reversal of 66930033780 is 8733003966.

It is a happy number.

66930033780 is a `hidden beast` number, since 6 + 6 + 9 + 300 + 337 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419391 + ... + 556550.

It is an arithmetic number, because the mean of its divisors is an integer number (2186110080).

Almost surely, 266930033780 is an apocalyptic number.

66930033780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66930033780 is an abundant number, since it is smaller than the sum of its proper divisors (142936533900).

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

66930033780 is a wasteful number, since it uses less digits than its factorization.

66930033780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976086 (or 976078 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 66930033780 in words is "sixty-six billion, nine hundred thirty million, thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3429 3810 4572 5715 6858 7620 11430 13716 17145 22860 34290 68580 975941 1951882 2927823 3903764 4879705 5855646 8783469 9759410 11711292 14639115 17566938 19518820 26350407 29278230 35133876 43917345 52700814 58556460 87834690 105401628 123944507 131752035 175669380 247889014 263504070 371833521 495778028 527008140 619722535 743667042 1115500563 1239445070 1487334084 1859167605 2231001126 2478890140 3346501689 3718335210 4462002252 5577502815 6693003378 7436670420 11155005630 13386006756 16732508445 22310011260 33465016890 66930033780