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75320606916 = 22347921932
BaseRepresentation
bin100011000100101110…
…1010100000011000100
321012102020000021110000
41012021131110003010
52213224033410131
654333554001300
75304341411112
oct1061135240304
9235366007400
1075320606916
1129a41578875
1212720876230
13714483a779
1439074d2ab2
151e5c796ce6
hex11897540c4

75320606916 has 135 divisors (see below), whose sum is σ = 200465590941. Its totient is φ = 24660619776.

The previous prime is 75320606909. The next prime is 75320606917. The reversal of 75320606916 is 61960602357.

The square root of 75320606916 is 274446.

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

75320606916 is a `hidden beast` number, since 7 + 5 + 3 + 20 + 606 + 9 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18249308100 + 57071298816 = 135090^2 + 238896^2 .

It is not an unprimeable number, because it can be changed into a prime (75320606917) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 390262116 + ... + 390262308.

Almost surely, 275320606916 is an apocalyptic number.

75320606916 is the 274446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75320606916

75320606916 is an abundant number, since it is smaller than the sum of its proper divisors (125144984025).

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

75320606916 is an equidigital number, since it uses as much as digits as its factorization.

75320606916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 75320606916 in words is "seventy-five billion, three hundred twenty million, six hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 193 237 316 324 386 474 579 711 772 948 1158 1422 1737 2133 2316 2844 3474 4266 5211 6241 6399 6948 8532 10422 12482 12798 15247 15633 18723 20844 24964 25596 30494 31266 37249 37446 45741 56169 60988 62532 74498 74892 91482 111747 112338 137223 148996 168507 182964 223494 224676 274446 335241 337014 411669 446988 505521 548892 670482 674028 823338 1005723 1011042 1204513 1235007 1340964 1646676 2011446 2022084 2409026 2470014 2942671 3017169 3613539 4022892 4818052 4940028 5885342 6034338 7227078 8828013 10840617 11770684 12068676 14454156 17656026 21681234 26484039 32521851 35312052 43362468 52968078 65043702 79452117 97565553 105936156 130087404 158904234 195131106 232471009 238356351 317808468 390262212 464942018 476712702 697413027 929884036 953425404 1394826054 2092239081 2789652108 4184478162 6276717243 8368956324 12553434486 18830151729 25106868972 37660303458 75320606916