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66004325640 = 233251116667759
BaseRepresentation
bin111101011110001010…
…100001010100001000
320022100221210011002100
4331132022201110020
52040134101410030
650153313433400
74524435340161
oct753612412410
9208327704070
1066004325640
1125aa07a2860
121096086b860
1362bb6abab6
1432a20aa768
151ab4942360
hexf5e2a1508

66004325640 has 96 divisors (see below), whose sum is σ = 234015350400. Its totient is φ = 16001047680.

The previous prime is 66004325633. The next prime is 66004325687. The reversal of 66004325640 is 4652340066.

66004325640 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 4 + 3 + 2 + 5 + 640 = 666.

It is a super-2 number, since 2×660043256402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66004325595 and 66004325604.

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, 8329920 + ... + 8337839.

It is an arithmetic number, because the mean of its divisors is an integer number (2437659900).

Almost surely, 266004325640 is an apocalyptic number.

66004325640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66004325640 is an abundant number, since it is smaller than the sum of its proper divisors (168011024760).

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

66004325640 is a wasteful number, since it uses less digits than its factorization.

66004325640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16667787 (or 16667780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66004325640 in words is "sixty-six billion, four million, three hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 16667759 33335518 50003277 66671036 83338795 100006554 133342072 150009831 166677590 183345349 200013108 250016385 300019662 333355180 366690698 400026216 500032770 550036047 600039324 666710360 733381396 750049155 916726745 1000065540 1100072094 1200078648 1466762792 1500098310 1650108141 1833453490 2000131080 2200144188 2750180235 3000196620 3300216282 3666906980 4400288376 5500360470 6000393240 6600432564 7333813960 8250540705 11000720940 13200865128 16501081410 22001441880 33002162820 66004325640