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75814318336 = 28172092
BaseRepresentation
bin100011010011011100…
…0101011000100000000
321020200122000102012011
41012212320223010000
52220231431141321
654454551542304
75322515034031
oct1064670530400
9236618012164
1075814318336
112a17522a539
121283a08a994
1371c2c003c3
143952ccca88
151e8acbbae1
hex11a6e2b100

75814318336 has 27 divisors (see below), whose sum is σ = 151341281301. Its totient is φ = 37904956416.

The previous prime is 75814318303. The next prime is 75814318381. The reversal of 75814318336 is 63381341857.

The square root of 75814318336 is 275344.

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., 34393927936 + 41420390400 = 185456^2 + 203520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75814318336.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4396900 + ... + 4414108.

Almost surely, 275814318336 is an apocalyptic number.

75814318336 is the 275344-th square number.

It is an amenable number.

75814318336 is a deficient number, since it is larger than the sum of its proper divisors (75526962965).

75814318336 is an frugal number, since it uses more digits than its factorization.

75814318336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34434 (or 17211 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 75814318336 by its sum of digits (49), we get a square (3714901598464 = 19274082).

The spelling of 75814318336 in words is "seventy-five billion, eight hundred fourteen million, three hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 17209 34418 68836 137672 275344 550688 1101376 2202752 4405504 296149681 592299362 1184598724 2369197448 4738394896 9476789792 18953579584 37907159168 75814318336