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66646404 = 223211316189
BaseRepresentation
bin1111111000111…
…1000110000100
311122101222200100
43332033012010
5114030141104
610340244100
71436325246
oct376170604
9148358610
1066646404
1134690480
121a3a0630
1310a66256
148bcc096
155cb7139
hex3f8f184

66646404 has 144 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 19008000.

The previous prime is 66646403. The next prime is 66646421. The reversal of 66646404 is 40464666.

It is a happy number.

It is a super-2 number, since 2×666464042 = 8883486332262432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66646403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748792 + ... + 748880.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 266646404 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 66646404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

66646404 is an abundant number, since it is smaller than the sum of its proper divisors (128341116).

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

66646404 is a wasteful number, since it uses less digits than its factorization.

66646404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 66646404 is about 8163.7248851244. The cubic root of 66646404 is about 405.4390483316.

The spelling of 66646404 in words is "sixty-six million, six hundred forty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 61 62 66 89 93 99 122 124 132 178 183 186 198 244 267 279 341 356 366 372 396 534 549 558 671 682 732 801 979 1023 1068 1098 1116 1342 1364 1602 1891 1958 2013 2046 2196 2684 2759 2937 3069 3204 3782 3916 4026 4092 5429 5518 5673 5874 6039 6138 7564 8052 8277 8811 10858 11036 11346 11748 12078 12276 16287 16554 17019 17622 20801 21716 22692 24156 24831 30349 32574 33108 34038 35244 41602 48861 49662 59719 60698 62403 65148 68076 83204 91047 97722 99324 119438 121396 124806 168299 179157 182094 187209 195444 238876 249612 273141 336598 358314 364188 374418 504897 537471 546282 673196 716628 748836 1009794 1074942 1092564 1514691 1851289 2019588 2149884 3029382 3702578 5553867 6058764 7405156 11107734 16661601 22215468 33323202 66646404