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66504812928 = 2731941222323
BaseRepresentation
bin111101111011111111…
…101110100110000000
320100122211112112120120
4331323333232212000
52042200213003203
650315112540240
74543023403611
oct757377564600
9210584475516
1066504812928
1126228262314
1210a803b1680
13636b2a4918
14330c74bc08
151ae3854b53
hexf7bfee980

66504812928 has 128 divisors (see below), whose sum is σ = 190487203200. Its totient is φ = 20489195520.

The previous prime is 66504812917. The next prime is 66504812929. The reversal of 66504812928 is 82921840566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66504812929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187975 + ... + 410297.

It is an arithmetic number, because the mean of its divisors is an integer number (1488181275).

Almost surely, 266504812928 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 66504812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243601600).

66504812928 is an abundant number, since it is smaller than the sum of its proper divisors (123982390272).

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

66504812928 is a wasteful number, since it uses less digits than its factorization.

66504812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222400 (or 222388 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 66504812928 in words is "sixty-six billion, five hundred four million, eight hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 228 246 304 328 384 456 492 608 656 779 912 984 1216 1312 1558 1824 1968 2337 2432 2624 3116 3648 3936 4674 5248 6232 7296 7872 9348 12464 15744 18696 24928 37392 49856 74784 99712 149568 222323 299136 444646 666969 889292 1333938 1778584 2667876 3557168 4224137 5335752 7114336 8448274 9115243 10671504 12672411 14228672 16896548 18230486 21343008 25344822 27345729 28457344 33793096 36460972 42686016 50689644 54691458 67586192 72921944 85372032 101379288 109382916 135172384 145843888 173189617 202758576 218765832 270344768 291687776 346379234 405517152 437531664 519568851 540689536 583375552 692758468 811034304 875063328 1039137702 1166751104 1385516936 1622068608 1750126656 2078275404 2771033872 3500253312 4156550808 5542067744 8313101616 11084135488 16626203232 22168270976 33252406464 66504812928