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66914368 = 2629311163
BaseRepresentation
bin1111111101000…
…0100001000000
311122220121020221
43333100201000
5114112224433
610350112424
71441522423
oct377204100
9148817227
1066914368
1134853834
121a4ab714
1310b2b201
148c5b9ba
155d1b72d
hex3fd0840

66914368 has 56 divisors (see below), whose sum is σ = 141914880. Its totient is φ = 31234560.

The previous prime is 66914357. The next prime is 66914381. The reversal of 66914368 is 86341966.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56955 + ... + 58117.

Almost surely, 266914368 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 66914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70957440).

66914368 is an abundant number, since it is smaller than the sum of its proper divisors (75000512).

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

66914368 is a wasteful number, since it uses less digits than its factorization.

66914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 66914368 is about 8180.1202925140. The cubic root of 66914368 is about 405.9817022014.

The spelling of 66914368 in words is "sixty-six million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1163 1798 1856 1984 2326 3596 4652 7192 9304 14384 18608 28768 33727 36053 37216 57536 67454 72106 74432 134908 144212 269816 288424 539632 576848 1045537 1079264 1153696 2091074 2158528 2307392 4182148 8364296 16728592 33457184 66914368