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66645504 = 29341607
BaseRepresentation
bin1111111000111…
…0111000000000
311122101221110000
43332032320000
5114030124004
610340240000
71436322522
oct376167000
9148357400
1066645504
113468a832
121a3a0000
1310a65a13
148bcba12
155cb6c39
hex3f8ee00

66645504 has 100 divisors (see below), whose sum is σ = 199043064. Its totient is φ = 22201344.

The previous prime is 66645493. The next prime is 66645517. The reversal of 66645504 is 40554666.

It is a happy number.

66645504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40669 + ... + 42275.

Almost surely, 266645504 is an apocalyptic number.

66645504 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 66645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99521532).

66645504 is an abundant number, since it is smaller than the sum of its proper divisors (132397560).

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

66645504 is an equidigital number, since it uses as much as digits as its factorization.

66645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 66645504 is about 8163.6697630416. The cubic root of 66645504 is about 405.4372232930.

The spelling of 66645504 in words is "sixty-six million, six hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1607 1728 2304 2592 3214 3456 4608 4821 5184 6428 6912 9642 10368 12856 13824 14463 19284 20736 25712 28926 38568 41472 43389 51424 57852 77136 86778 102848 115704 130167 154272 173556 205696 231408 260334 308544 347112 411392 462816 520668 617088 694224 822784 925632 1041336 1234176 1388448 1851264 2082672 2468352 2776896 3702528 4165344 5553792 7405056 8330688 11107584 16661376 22215168 33322752 66645504