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96278022369 = 3229323532
BaseRepresentation
bin101100110101010011…
…1100000100011100001
3100012111210002021210100
41121222213200203201
53034134133203434
6112121324053013
76645600454524
oct1315247404341
9305453067710
1096278022369
1137916485231
12167ab394169
139104692509
1449349dcbbb
1527875d1699
hex166a9e08e1

96278022369 has 27 divisors (see below), whose sum is σ = 139940940217. Its totient is φ = 63785078016.

The previous prime is 96278022349. The next prime is 96278022469. The reversal of 96278022369 is 96322087269.

It is a happy number.

The square root of 96278022369 is 310287.

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

96278022369 is a `hidden beast` number, since 9 + 6 + 278 + 0 + 2 + 2 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18738050769 + 77539971600 = 136887^2 + 278460^2 .

It is not a de Polignac number, because 96278022369 - 29 = 96278021857 is a prime.

It is a super-2 number, since 2×962780223692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96278022329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272742097 + ... + 272742449.

Almost surely, 296278022369 is an apocalyptic number.

96278022369 is the 310287-th square number.

96278022369 is the 155144-th centered octagonal number.

It is an amenable number.

96278022369 is a deficient number, since it is larger than the sum of its proper divisors (43662917848).

96278022369 is an frugal number, since it uses more digits than its factorization.

96278022369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 96278022369 in words is "ninety-six billion, two hundred seventy-eight million, twenty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 293 353 879 1059 2637 3177 85849 103429 124609 257547 310287 373827 772641 930861 1121481 30304697 36510437 90914091 109531311 272742273 328593933 10697558041 32092674123 96278022369