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66746472 = 233133167103
BaseRepresentation
bin1111111010011…
…1100001101000
311122121001221120
43332213201220
5114041341342
610342335240
71440223062
oct376474150
9148531846
1066746472
1134749681
121a42a520
1310a9c970
148c16732
155cd6aec
hex3fa7868

66746472 has 128 divisors (see below), whose sum is σ = 190095360. Its totient is φ = 19388160.

The previous prime is 66746447. The next prime is 66746473. The reversal of 66746472 is 27464766.

It is not an unprimeable number, because it can be changed into a prime (66746473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647973 + ... + 648075.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 266746472 is an apocalyptic number.

66746472 is a gapful number since it is divisible by the number (62) 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 66746472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95047680).

66746472 is an abundant number, since it is smaller than the sum of its proper divisors (123348888).

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

66746472 is a wasteful number, since it uses less digits than its factorization.

66746472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 66746472 is about 8169.8514062374. The cubic root of 66746472 is about 405.6418659055.

The spelling of 66746472 in words is "sixty-six million, seven hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 67 78 93 103 104 124 134 156 186 201 206 248 268 309 312 372 402 403 412 536 618 744 804 806 824 871 1209 1236 1339 1608 1612 1742 2077 2418 2472 2613 2678 3193 3224 3484 4017 4154 4836 5226 5356 6231 6386 6901 6968 8034 8308 9579 9672 10452 10712 12462 12772 13802 16068 16616 19158 20703 20904 24924 25544 27001 27604 32136 38316 41406 41509 49848 54002 55208 76632 81003 82812 83018 89713 108004 124527 162006 165624 166036 179426 213931 216008 249054 269139 324012 332072 358852 427862 498108 538278 641793 648024 717704 855724 996216 1076556 1283586 1711448 2153112 2567172 2781103 5134344 5562206 8343309 11124412 16686618 22248824 33373236 66746472