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66141348 = 223713371637
BaseRepresentation
bin1111110001001…
…1110010100100
311121110022212120
43330103302210
5113413010343
610321345540
71432122630
oct374236244
9147408776
1066141348
1134375a79
121a1982b0
131091a3c0
148ad9dc0
155c17683
hex3f13ca4

66141348 has 96 divisors (see below), whose sum is σ = 195197184. Its totient is φ = 16962048.

The previous prime is 66141319. The next prime is 66141359. The reversal of 66141348 is 84314166.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39586 + ... + 41222.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 266141348 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 66141348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

66141348 is an abundant number, since it is smaller than the sum of its proper divisors (129055836).

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

66141348 is a wasteful number, since it uses less digits than its factorization.

66141348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 66141348 is about 8132.7331199296. The cubic root of 66141348 is about 404.4122919088.

The spelling of 66141348 in words is "sixty-six million, one hundred forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1637 1924 2886 3108 3274 3367 4911 5772 6548 6734 9822 10101 11459 13468 19644 20202 21281 22918 34377 40404 42562 45836 60569 63843 68754 85124 121138 127686 137508 148967 181707 242276 255372 297934 363414 423983 446901 595868 726828 787397 847966 893802 1271949 1574794 1695932 1787604 2362191 2543898 3149588 4724382 5087796 5511779 9448764 11023558 16535337 22047116 33070674 66141348