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66698016 = 25372111289
BaseRepresentation
bin1111111001101…
…1101100100000
311122111121110220
43332123230200
5114033314031
610341323040
71436631600
oct376335440
9148447426
1066698016
1134716230
121a406480
1310a838a8
148c02c00
155cc7596
hex3f9bb20

66698016 has 144 divisors (see below), whose sum is σ = 222354720. Its totient is φ = 17310720.

The previous prime is 66698011. The next prime is 66698017. The reversal of 66698016 is 61089666.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (66698011) 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, 51100 + ... + 52388.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 266698016 is an apocalyptic number.

66698016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66698016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111177360).

66698016 is an abundant number, since it is smaller than the sum of its proper divisors (155656704).

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

66698016 is a wasteful number, since it uses less digits than its factorization.

66698016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66698016 is about 8166.8853304060. The cubic root of 66698016 is about 405.5436807376.

The spelling of 66698016 in words is "sixty-six million, six hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1289 1568 1617 1848 2156 2352 2464 2578 3234 3696 3867 4312 4704 5156 6468 7392 7734 8624 9023 10312 12936 14179 15468 17248 18046 20624 25872 27069 28358 30936 36092 41248 42537 51744 54138 56716 61872 63161 72184 85074 99253 108276 113432 123744 126322 144368 170148 189483 198506 216552 226864 252644 288736 297759 340296 378966 397012 433104 453728 505288 595518 680592 694771 757932 794024 866208 1010576 1191036 1361184 1389542 1515864 1588048 2021152 2084313 2382072 2779084 3031728 3176096 4168626 4764144 5558168 6063456 8337252 9528288 11116336 16674504 22232672 33349008 66698016