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66906648 = 2335127271
BaseRepresentation
bin1111111100111…
…0101000011000
311122220012200000
43333032220120
5114112003043
610350013000
71441461054
oct377165030
9148805600
1066906648
1134848a56
121a4a7160
1310b27843
148c58c64
155d192d3
hex3fcea18

66906648 has 96 divisors (see below), whose sum is σ = 190095360. Its totient is φ = 22044960.

The previous prime is 66906647. The next prime is 66906703. The reversal of 66906648 is 84660966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66906641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246753 + ... + 247023.

It is an arithmetic number, because the mean of its divisors is an integer number (1980160).

Almost surely, 266906648 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 66906648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95047680).

66906648 is an abundant number, since it is smaller than the sum of its proper divisors (123188712).

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

66906648 is a wasteful number, since it uses less digits than its factorization.

66906648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 66906648 is about 8179.6484032017. The cubic root of 66906648 is about 405.9660887172.

The spelling of 66906648 in words is "sixty-six million, nine hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 243 254 271 324 381 486 508 542 648 762 813 972 1016 1084 1143 1524 1626 1944 2168 2286 2439 3048 3252 3429 4572 4878 6504 6858 7317 9144 9756 10287 13716 14634 19512 20574 21951 27432 29268 30861 34417 41148 43902 58536 61722 65853 68834 82296 87804 103251 123444 131706 137668 175608 206502 246888 263412 275336 309753 413004 526824 619506 826008 929259 1239012 1858518 2478024 2787777 3717036 5575554 7434072 8363331 11151108 16726662 22302216 33453324 66906648