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66696384 = 2631947389
BaseRepresentation
bin1111111001101…
…1010011000000
311122111112020110
43332123103000
5114033241014
610341311320
71436624046
oct376332300
9148445213
1066696384
1134714a87
121a405540
1310a82c21
148c02396
155cc6d59
hex3f9b4c0

66696384 has 112 divisors (see below), whose sum is σ = 190195200. Its totient is φ = 20560896.

The previous prime is 66696367. The next prime is 66696451. The reversal of 66696384 is 48369666.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171262 + ... + 171650.

Almost surely, 266696384 is an apocalyptic number.

66696384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66696384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

66696384 is an abundant number, since it is smaller than the sum of its proper divisors (123498816).

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

66696384 is a wasteful number, since it uses less digits than its factorization.

66696384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 66696384 is about 8166.7854141027. The cubic root of 66696384 is about 405.5403730296.

The spelling of 66696384 in words is "sixty-six million, six hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 376 389 456 564 608 752 778 893 912 1128 1167 1216 1504 1556 1786 1824 2256 2334 2679 3008 3112 3572 3648 4512 4668 5358 6224 7144 7391 9024 9336 10716 12448 14288 14782 18283 18672 21432 22173 24896 28576 29564 36566 37344 42864 44346 54849 57152 59128 73132 74688 85728 88692 109698 118256 146264 171456 177384 219396 236512 292528 347377 354768 438792 473024 585056 694754 709536 877584 1042131 1170112 1389508 1419072 1755168 2084262 2779016 3510336 4168524 5558032 8337048 11116064 16674096 22232128 33348192 66696384