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66707337511936 = 210112232032
BaseRepresentation
bin11110010101011100000110…
…01010000000010000000000
322202012011022001020200201201
433022232003022000100000
532220413111400340221
6353512532223110544
720023306003205332
oct1712560312002000
9282164261220651
1066707337511936
111a289471a72500
1275943b4442454
132b2b623584154
14126891c123452
157aa326d7a891
hex3cab83280400

66707337511936 has 99 divisors (see below), whose sum is σ = 146580595341663. Its totient is φ = 30320210257920.

The previous prime is 66707337511933. The next prime is 66707337511939. The reversal of 66707337511936 is 63911573370766.

The square root of 66707337511936 is 8167456.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (66707337511933) and next prime (66707337511939).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66707337511933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2874932911 + ... + 2874956113.

Almost surely, 266707337511936 is an apocalyptic number.

66707337511936 is the 8167456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66707337511936

66707337511936 is an abundant number, since it is smaller than the sum of its proper divisors (79873257829727).

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

66707337511936 is an frugal number, since it uses more digits than its factorization.

66707337511936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46448 (or 23216 counting only the distinct ones).

The product of its (nonzero) digits is 90016920, while the sum is 64.

66707337511936 divided by its sum of digits (64) gives a square (1042302148624 = 10209322).

The spelling of 66707337511936 in words is "sixty-six trillion, seven hundred seven billion, three hundred thirty-seven million, five hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 15488 23203 30976 46406 61952 92812 123904 185624 255233 371248 510466 742496 1020932 1484992 2041864 2807563 2969984 4083728 5615126 5939968 8167456 11230252 11879936 16334912 22460504 23759872 32669824 44921008 65339648 89842016 130679296 179684032 261358592 359368064 538379209 718736128 1076758418 1437472256 2153516836 2874944512 4307033672 5922171299 8614067344 11844342598 17228134688 23688685196 34456269376 47377370392 65143884289 68912538752 94754740784 130287768578 137825077504 189509481568 260575537156 275650155008 379018963136 521151074312 551300310016 758037926272 1042302148624 1516075852544 2084604297248 3032151705088 4169208594496 6064303410176 8338417188992 16676834377984 33353668755968 66707337511936