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66669264 = 2433374397
BaseRepresentation
bin1111111001010…
…0101011010000
311122110011001000
43332110223100
5114031404024
610340542000
71436452014
oct376245320
9148404030
1066669264
11346a6672
121a3b1900
1310a7378c
148bd6544
155cbdcc9
hex3f94ad0

66669264 has 160 divisors (see below), whose sum is σ = 203181440. Its totient is φ = 20901888.

The previous prime is 66669259. The next prime is 66669287. The reversal of 66669264 is 46296666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 687264 + ... + 687360.

It is an arithmetic number, because the mean of its divisors is an integer number (1269884).

Almost surely, 266669264 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 66669264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101590720).

66669264 is an abundant number, since it is smaller than the sum of its proper divisors (136512176).

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

66669264 is a wasteful number, since it uses less digits than its factorization.

66669264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 66669264 is about 8165.1248612621. The cubic root of 66669264 is about 405.4853988052.

The spelling of 66669264 in words is "sixty-six million, six hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 43 48 54 72 74 86 97 108 111 129 144 148 172 194 216 222 258 291 296 333 344 387 388 432 444 516 582 592 666 688 774 776 873 888 999 1032 1161 1164 1332 1548 1552 1591 1746 1776 1998 2064 2322 2328 2619 2664 3096 3182 3492 3589 3996 4171 4644 4656 4773 5238 5328 6192 6364 6984 7178 7992 8342 9288 9546 10476 10767 12513 12728 13968 14319 14356 15984 16684 18576 19092 20952 21534 25026 25456 28638 28712 32301 33368 37539 38184 41904 42957 43068 50052 57276 57424 64602 66736 75078 76368 85914 86136 96903 100104 112617 114552 129204 150156 154327 171828 172272 193806 200208 225234 229104 258408 300312 308654 343656 387612 450468 462981 516816 600624 617308 687312 775224 900936 925962 1234616 1388943 1550448 1801872 1851924 2469232 2777886 3703848 4166829 5555772 7407696 8333658 11111544 16667316 22223088 33334632 66669264