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66716823616 = 268323892
BaseRepresentation
bin111110001000101000…
…011111000001000000
320101012121110210120021
4332020220133001000
52043114001323431
650352125023224
74551206433562
oct761050370100
9211177423507
1066716823616
11263269a9063
1210b1b3b4b14
1363a31a5a31
14332c979332
151b07282b11
hexf88a1f040

66716823616 has 63 divisors (see below), whose sum is σ = 134350861981. Its totient is φ = 32871782144.

The previous prime is 66716823601. The next prime is 66716823617. The reversal of 66716823616 is 61632861766.

The square root of 66716823616 is 258296.

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

It can be written as a sum of positive squares in only one way, i.e., 15749246016 + 50967577600 = 125496^2 + 225760^2 .

It is a super-2 number, since 2×667168236162 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66716823617) 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, 171508350 + ... + 171508738.

Almost surely, 266716823616 is an apocalyptic number.

66716823616 is the 258296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66716823616

66716823616 is an abundant number, since it is smaller than the sum of its proper divisors (67634038365).

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

66716823616 is an frugal number, since it uses more digits than its factorization.

66716823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 474 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The spelling of 66716823616 in words is "sixty-six billion, seven hundred sixteen million, eight hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 166 332 389 664 778 1328 1556 2656 3112 5312 6224 6889 12448 13778 24896 27556 32287 55112 64574 110224 129148 151321 220448 258296 302642 440896 516592 605284 1033184 1210568 2066368 2421136 2679821 4842272 5359642 9684544 10719284 12559643 21438568 25119286 42877136 50238572 85754272 100477144 171508544 200954288 401908576 803817152 1042450369 2084900738 4169801476 8339602952 16679205904 33358411808 66716823616