Search a number
-
+
66166470 = 235573373
BaseRepresentation
bin1111110001100…
…1111011000110
311121111121100000
43330121323012
5113414311340
610322102130
71432256106
oct374317306
9147447300
1066166470
1134392937
121a1aa946
1310928976
148b05206
155c1ed30
hex3f19ec6

66166470 has 96 divisors (see below), whose sum is σ = 181333152. Its totient is φ = 17356032.

The previous prime is 66166447. The next prime is 66166483. The reversal of 66166470 is 7466166.

66166470 = 3232 + 3242 + ... + 6142.

66166470 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 647 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177204 + ... + 177576.

It is an arithmetic number, because the mean of its divisors is an integer number (1888887).

Almost surely, 266166470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66166470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90666576).

66166470 is an abundant number, since it is smaller than the sum of its proper divisors (115166682).

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

66166470 is a wasteful number, since it uses less digits than its factorization.

66166470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66166470 is about 8134.2774725233. The cubic root of 66166470 is about 404.4634871136.

The spelling of 66166470 in words is "sixty-six million, one hundred sixty-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 243 270 365 373 405 438 486 657 730 746 810 1095 1119 1215 1314 1865 1971 2190 2238 2430 3285 3357 3730 3942 5595 5913 6570 6714 9855 10071 11190 11826 16785 17739 19710 20142 27229 29565 30213 33570 35478 50355 54458 59130 60426 81687 88695 90639 100710 136145 151065 163374 177390 181278 245061 272290 302130 408435 453195 490122 735183 816870 906390 1225305 1470366 2205549 2450610 3675915 4411098 6616647 7351830 11027745 13233294 22055490 33083235 66166470