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66698496 = 283228949
BaseRepresentation
bin1111111001101…
…1110100000000
311122111122010200
43332123310000
5114033322441
610341325200
71436633154
oct376336400
9148448120
1066698496
1134716627
121a406800
1310a83b87
148c03064
155cc77b6
hex3f9bd00

66698496 has 54 divisors (see below), whose sum is σ = 192314850. Its totient is φ = 22232064.

The previous prime is 66698479. The next prime is 66698503. The reversal of 66698496 is 69489666.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 112896 = 8160^2 + 336^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 12171 + ... + 16778.

Almost surely, 266698496 is an apocalyptic number.

It is an amenable number.

66698496 is an abundant number, since it is smaller than the sum of its proper divisors (125616354).

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

66698496 is a wasteful number, since it uses less digits than its factorization.

66698496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28971 (or 28954 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 66698496 is about 8166.9147173213. The cubic root of 66698496 is about 405.5446535827.

The spelling of 66698496 in words is "sixty-six million, six hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 28949 57898 86847 115796 173694 231592 260541 347388 463184 521082 694776 926368 1042164 1389552 1852736 2084328 2779104 3705472 4168656 5558208 7410944 8337312 11116416 16674624 22232832 33349248 66698496