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66646872 = 23322959541
BaseRepresentation
bin1111111000111…
…1001101011000
311122102000022200
43332033031120
5114030144442
610340250200
71436326515
oct376171530
9148360280
1066646872
1134690866
121a3a0960
1310a66526
148bcc30c
155cb734c
hex3f8f358

66646872 has 96 divisors (see below), whose sum is σ = 190242000. Its totient is φ = 21047040.

The previous prime is 66646829. The next prime is 66646897. The reversal of 66646872 is 27864666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122922 + ... + 123462.

Almost surely, 266646872 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 66646872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95121000).

66646872 is an abundant number, since it is smaller than the sum of its proper divisors (123595128).

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

66646872 is a wasteful number, since it uses less digits than its factorization.

66646872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 66646872 is about 8163.7535484604. The cubic root of 66646872 is about 405.4399973452.

The spelling of 66646872 in words is "sixty-six million, six hundred forty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 541 696 708 1044 1062 1082 1416 1623 1711 2088 2124 2164 3246 3422 4248 4328 4869 5133 6492 6844 9738 10266 12984 13688 15399 15689 19476 20532 30798 31378 31919 38952 41064 47067 61596 62756 63838 94134 95757 123192 125512 127676 141201 188268 191514 255352 282402 287271 376536 383028 564804 574542 766056 925651 1129608 1149084 1851302 2298168 2776953 3702604 5553906 7405208 8330859 11107812 16661718 22215624 33323436 66646872