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66955896 = 2334729509
BaseRepresentation
bin1111111101101…
…0101001111000
311122222201020000
43333122221320
5114120042041
610351033000
71442054460
oct377325170
9148881200
1066955896
1134881a57
121a50b760
1310b44097
148c6cba0
155d28bb6
hex3fdaa78

66955896 has 160 divisors (see below), whose sum is σ = 222156000. Its totient is φ = 18434304.

The previous prime is 66955879. The next prime is 66955909. The reversal of 66955896 is 69855966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131290 + ... + 131798.

It is an arithmetic number, because the mean of its divisors is an integer number (1388475).

Almost surely, 266955896 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 66955896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111078000).

66955896 is an abundant number, since it is smaller than the sum of its proper divisors (155200104).

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

66955896 is a wasteful number, since it uses less digits than its factorization.

66955896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 66955896 is about 8182.6582477823. The cubic root of 66955896 is about 406.0656708221.

It can be divided in two parts, 669 and 55896, that added together give a palindrome (56565).

The spelling of 66955896 in words is "sixty-six million, nine hundred fifty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 509 522 567 609 648 696 756 783 812 1018 1044 1134 1218 1512 1527 1566 1624 1827 2036 2088 2268 2349 2436 3054 3132 3563 3654 4072 4536 4581 4698 4872 5481 6108 6264 7126 7308 9162 9396 10689 10962 12216 13743 14252 14616 14761 16443 18324 18792 21378 21924 27486 28504 29522 32067 32886 36648 41229 42756 43848 44283 54972 59044 64134 65772 82458 85512 88566 96201 103327 109944 118088 128268 131544 132849 164916 177132 192402 206654 256536 265698 288603 309981 329832 354264 384804 398547 413308 531396 577206 619962 769608 797094 826616 929943 1062792 1154412 1195641 1239924 1594188 1859886 2308824 2391282 2479848 2789829 3188376 3719772 4782564 5579658 7439544 8369487 9565128 11159316 16738974 22318632 33477948 66955896