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27319400416 = 2572111583917
BaseRepresentation
bin11001011100010111…
…001111011111100000
32121111221021100001001
4121130113033133200
5421422231303131
620314513321344
71655000033500
oct313427173740
977457240031
1027319400416
111064a0a8980
125365266254
132764c11bb9
141472425a00
15a9d627261
hex65c5cf7e0

27319400416 has 72 divisors (see below), whose sum is σ = 68254194456. Its totient is φ = 10643915520.

The previous prime is 27319400389. The next prime is 27319400417. The reversal of 27319400416 is 61400491372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27319400417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774711 + ... + 809206.

It is an arithmetic number, because the mean of its divisors is an integer number (947974923).

Almost surely, 227319400416 is an apocalyptic number.

It is an amenable number.

27319400416 is an abundant number, since it is smaller than the sum of its proper divisors (40934794040).

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

27319400416 is a wasteful number, since it uses less digits than its factorization.

27319400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583952 (or 1583937 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 27319400416 its reverse (61400491372), we get a palindrome (88719891788).

The spelling of 27319400416 in words is "twenty-seven billion, three hundred nineteen million, four hundred thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 1583917 3167834 6335668 11087419 12671336 17423087 22174838 25342672 34846174 44349676 50685344 69692348 77611933 88699352 121961609 139384696 155223866 177398704 243923218 278769392 310447732 354797408 487846436 557538784 620895464 853731263 975692872 1241790928 1707462526 1951385744 2483581856 3414925052 3902771488 6829850104 13659700208 27319400416