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66655510400 = 275231166977
BaseRepresentation
bin111110000100111110…
…100101111110000000
320101001100002202122102
4332010332211332000
52043002302313100
650342054525532
74546533330053
oct760476457600
9211040082572
1066655510400
11262a5330586
1210b029668a8
13639358911b
143324778a9a
151b01bc0cd5
hexf84fa5f80

66655510400 has 96 divisors (see below), whose sum is σ = 165191860080. Its totient is φ = 26576076800.

The previous prime is 66655510373. The next prime is 66655510429. The reversal of 66655510400 is 401555666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961712 + ... + 1028688.

Almost surely, 266655510400 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 66655510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82595930040).

66655510400 is an abundant number, since it is smaller than the sum of its proper divisors (98536349680).

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

66655510400 is a wasteful number, since it uses less digits than its factorization.

66655510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67312 (or 67295 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 66655510400 in words is "sixty-six billion, six hundred fifty-five million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 311 320 400 622 640 800 1244 1555 1600 2488 3110 3200 4976 6220 7775 9952 12440 15550 19904 24880 31100 39808 49760 62200 66977 99520 124400 133954 199040 248800 267908 334885 497600 535816 669770 995200 1071632 1339540 1674425 2143264 2679080 3348850 4286528 5358160 6697700 8573056 10716320 13395400 20829847 21432640 26790800 41659694 42865280 53581600 83319388 104149235 107163200 166638776 208298470 214326400 333277552 416596940 520746175 666555104 833193880 1041492350 1333110208 1666387760 2082984700 2666220416 3332775520 4165969400 6665551040 8331938800 13331102080 16663877600 33327755200 66655510400