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66066408 = 23332953199
BaseRepresentation
bin1111110000000…
…1011111101000
311121022112002000
43330001133220
5113403111113
610320011000
71431361302
oct374013750
9147275060
1066066408
1134324741
121a160a60
13108c2265
148aba972
155c00373
hex3f017e8

66066408 has 128 divisors (see below), whose sum is σ = 194400000. Its totient is φ = 20756736.

The previous prime is 66066397. The next prime is 66066431. The reversal of 66066408 is 80466066.

66066408 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 331893 + ... + 332091.

It is an arithmetic number, because the mean of its divisors is an integer number (1518750).

Almost surely, 266066408 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 66066408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200000).

66066408 is an abundant number, since it is smaller than the sum of its proper divisors (128333592).

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

66066408 is a wasteful number, since it uses less digits than its factorization.

66066408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 66066408 is about 8128.1245069204. The cubic root of 66066408 is about 404.2594973691.

The spelling of 66066408 in words is "sixty-six million, sixty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 53 54 58 72 87 106 108 116 159 174 199 212 216 232 261 318 348 398 424 477 522 597 636 696 783 796 954 1044 1194 1272 1431 1537 1566 1592 1791 1908 2088 2388 2862 3074 3132 3582 3816 4611 4776 5373 5724 5771 6148 6264 7164 9222 10547 10746 11448 11542 12296 13833 14328 17313 18444 21094 21492 23084 27666 31641 34626 36888 41499 42188 42984 46168 51939 55332 63282 69252 82998 84376 94923 103878 110664 126564 138504 155817 165996 189846 207756 253128 284769 305863 311634 331992 379692 415512 569538 611726 623268 759384 917589 1139076 1223452 1246536 1835178 2278152 2446904 2752767 3670356 5505534 7340712 8258301 11011068 16516602 22022136 33033204 66066408