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291753380164 = 222700712
BaseRepresentation
bin1000011111011011101…
…10110100100101000100
31000220001210110100000211
410033231312310211010
514240002331131124
6342010223245204
730035630546041
oct4175566644504
91026053410024
10291753380164
111028061a4804
1248663749804
132168748a7bc
1410199bdc1c8
1578c86eae94
hex43eddb4944

291753380164 has 9 divisors (see below), whose sum is σ = 510570305791. Its totient is φ = 145876149940.

The previous prime is 291753380143. The next prime is 291753380183. The reversal of 291753380164 is 461083357192.

The square root of 291753380164 is 540142.

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

It is a Duffinian number.

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, 945249 + ... + 1215319.

It is a 1-persistent number, because it is pandigital, but 2⋅291753380164 = 583506760328 is not.

Almost surely, 2291753380164 is an apocalyptic number.

291753380164 is the 540142-nd square number.

It is an amenable number.

291753380164 is a deficient number, since it is larger than the sum of its proper divisors (218816925627).

291753380164 is an frugal number, since it uses more digits than its factorization.

291753380164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540146 (or 270073 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 291753380164 by its sum of digits (49), we get a square (14295915628036 = 37809942).

The spelling of 291753380164 in words is "two hundred ninety-one billion, seven hundred fifty-three million, three hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 4 270071 540142 1080284 72938345041 145876690082 291753380164