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117952407364 = 221126722332
BaseRepresentation
bin110110111011010000…
…0101110011101000100
3102021110022021010110011
41231312200232131010
53413031304013424
6130104145240004
711343653630401
oct1556640563504
9367408233404
10117952407364
1146029071500
121aa3a033004
13b179c185ac
1459cd41d2a8
153105341694
hex1b7682e744

117952407364 has 81 divisors (see below), whose sum is σ = 231317480541. Its totient is φ = 52587839040.

The previous prime is 117952407323. The next prime is 117952407373. The reversal of 117952407364 is 463704259711.

The square root of 117952407364 is 343442.

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., 23953752900 + 93998654464 = 154770^2 + 306592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 506233392 + ... + 506233624.

Almost surely, 2117952407364 is an apocalyptic number.

117952407364 is the 343442-nd square number.

It is an amenable number.

117952407364 is a deficient number, since it is larger than the sum of its proper divisors (113365073177).

117952407364 is an equidigital number, since it uses as much as digits as its factorization.

117952407364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 117952407364 by its sum of digits (49), we get a square (5779667960836 = 24040942).

The spelling of 117952407364 in words is "one hundred seventeen billion, nine hundred fifty-two million, four hundred seven thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 67 121 134 233 242 268 466 484 737 932 1474 2563 2948 4489 5126 8107 8978 10252 15611 16214 17956 28193 31222 32428 49379 54289 56386 62444 98758 108578 112772 171721 197516 217156 343442 543169 597179 686884 1045937 1086338 1194358 1888931 2091874 2172676 2388716 3637363 3777862 4183748 6568969 7274726 7555724 11505307 13137938 14549452 23010614 26275876 40010993 46021228 80021986 126558377 160043972 243703321 253116754 440120923 487406642 506233508 880241846 974813284 1760483692 2680736531 5361473062 10722946124 29488101841 58976203682 117952407364