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66909696 = 29373127
BaseRepresentation
bin1111111100111…
…1011000000000
311122220100211220
43333033120000
5114112102241
610350035040
71441503000
oct377173000
9148810756
1066909696
1134850277
121a4a8a80
1310b29049
148c5a000
155d1a166
hex3fcf600

66909696 has 160 divisors (see below), whose sum is σ = 209510400. Its totient is φ = 18966528.

The previous prime is 66909679. The next prime is 66909701. The reversal of 66909696 is 69690966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526785 + ... + 526911.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 266909696 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 66909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

66909696 is an abundant number, since it is smaller than the sum of its proper divisors (142600704).

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

66909696 is an equidigital number, since it uses as much as digits as its factorization.

66909696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 51.

The square root of 66909696 is about 8179.8347171566. The cubic root of 66909696 is about 405.9722533555.

The spelling of 66909696 in words is "sixty-six million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 127 128 147 168 192 196 224 254 256 294 336 343 381 384 392 448 508 512 588 672 686 762 768 784 889 896 1016 1029 1176 1344 1372 1524 1536 1568 1778 1792 2032 2058 2352 2667 2688 2744 3048 3136 3556 3584 4064 4116 4704 5334 5376 5488 6096 6223 6272 7112 8128 8232 9408 10668 10752 10976 12192 12446 12544 14224 16256 16464 18669 18816 21336 21952 24384 24892 25088 28448 32512 32928 37338 37632 42672 43561 43904 48768 49784 56896 65024 65856 74676 75264 85344 87122 87808 97536 99568 113792 130683 131712 149352 170688 174244 175616 195072 199136 227584 261366 263424 298704 341376 348488 398272 455168 522732 526848 597408 682752 696976 796544 1045464 1194816 1365504 1393952 1593088 2090928 2389632 2787904 3186176 4181856 4779264 5575808 8363712 9558528 11151616 16727424 22303232 33454848 66909696