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66638982384 = 243213271131357
BaseRepresentation
bin111110000011111111…
…100010110011110000
320101000012000001110200
4332003333202303300
52042434034414014
650340304355200
74546243001322
oct760377426360
9211005001420
1066638982384
1126296a71867
1210ab9315b00
136390020130
1433224b5612
151b00508a09
hexf83fe2cf0

66638982384 has 120 divisors (see below), whose sum is σ = 201585139392. Its totient is φ = 20428485120.

The previous prime is 66638982341. The next prime is 66638982437. The reversal of 66638982384 is 48328983666.

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 23 ways as a sum of consecutive naturals, for example, 441634 + ... + 572990.

Almost surely, 266638982384 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 66638982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100792569696).

66638982384 is an abundant number, since it is smaller than the sum of its proper divisors (134946157008).

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

66638982384 is a wasteful number, since it uses less digits than its factorization.

66638982384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131655 (or 131646 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 66638982384 in words is "sixty-six billion, six hundred thirty-eight million, nine hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 271 312 468 542 624 813 936 1084 1626 1872 2168 2439 3252 3523 4336 4878 6504 7046 9756 10569 13008 14092 19512 21138 28184 31707 39024 42276 56368 63414 84552 126828 131357 169104 253656 262714 394071 507312 525428 788142 1050856 1182213 1576284 1707641 2101712 2364426 3152568 3415282 4728852 5122923 6305136 6830564 9457704 10245846 13661128 15368769 18915408 20491692 27322256 30737538 35597747 40983384 61475076 71195494 81966768 106793241 122950152 142390988 213586482 245900304 284781976 320379723 427172964 462770711 569563952 640759446 854345928 925541422 1281518892 1388312133 1708691856 1851082844 2563037784 2776624266 3702165688 4164936399 5126075568 5553248532 7404331376 8329872798 11106497064 16659745596 22212994128 33319491192 66638982384