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666199056 = 24347261103
BaseRepresentation
bin100111101101010…
…110010000010000
31201102120102022010
4213231112100100
52331021332211
6150034542520
722336412205
oct4755262020
91642512263
10666199056
11312063236
12167137a40
13a8036333
1464699cac
153d7474a6
hex27b56410

666199056 has 120 divisors (see below), whose sum is σ = 1804588864. Its totient is φ = 211703040.

The previous prime is 666199019. The next prime is 666199057. The reversal of 666199056 is 650991666.

It is a super-2 number, since 2×6661990562 = 887642364430582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 666198996 and 666199014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666199057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6467901 + ... + 6468003.

Almost surely, 2666199056 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 666199056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902294432).

666199056 is an abundant number, since it is smaller than the sum of its proper divisors (1138389808).

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

666199056 is a wasteful number, since it uses less digits than its factorization.

666199056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 666199056 is about 25810.8321446636. The cubic root of 666199056 is about 873.3761691917.

The spelling of 666199056 in words is "six hundred sixty-six million, one hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 61 94 103 122 141 183 188 206 244 282 309 366 376 412 488 564 618 732 752 824 976 1128 1236 1464 1648 2209 2256 2472 2867 2928 4418 4841 4944 5734 6283 6627 8601 8836 9682 11468 12566 13254 14523 17202 17672 18849 19364 22936 25132 26508 29046 34404 35344 37698 38728 45872 50264 53016 58092 68808 75396 77456 100528 106032 116184 134749 137616 150792 227527 232368 269498 295301 301584 404247 455054 538996 590602 682581 808494 885903 910108 1077992 1181204 1365162 1616988 1771806 1820216 2155984 2362408 2730324 3233976 3543612 3640432 4724816 5460648 6467952 7087224 10921296 13879147 14174448 27758294 41637441 55516588 83274882 111033176 166549764 222066352 333099528 666199056