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145760763343761 = 32172341421075119
BaseRepresentation
bin100001001001000110010010…
…100001010111001110010001
3201010002121000012210202021200
4201021012102201113032101
5123101121020404000021
61234001323102141413
742462603411545406
oct4111062241271621
9633077005722250
10145760763343761
1142497879a28975
12144214b4881869
136344247889077
1427dcc03d742ad
1511cb88a54e126
hex849192857391

145760763343761 has 24 divisors (see below), whose sum is σ = 232620757873920. Its totient is φ = 87481310649216.

The previous prime is 145760763343757. The next prime is 145760763343823. The reversal of 145760763343761 is 167343367067541.

145760763343761 is a `hidden beast` number, since 1 + 4 + 5 + 76 + 0 + 76 + 3 + 3 + 437 + 61 = 666.

It is not a de Polignac number, because 145760763343761 - 22 = 145760763343757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145760763343751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20710534041 + ... + 20710541078.

It is an arithmetic number, because the mean of its divisors is an integer number (9692531578080).

Almost surely, 2145760763343761 is an apocalyptic number.

It is an amenable number.

145760763343761 is a deficient number, since it is larger than the sum of its proper divisors (86859994530159).

145760763343761 is a wasteful number, since it uses less digits than its factorization.

145760763343761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41421075165 (or 41421075162 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 145760763343761 in words is "one hundred forty-five trillion, seven hundred sixty billion, seven hundred sixty-three million, three hundred forty-three thousand, seven hundred sixty-one".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 41421075119 124263225357 372789676071 704158277023 952684727737 2112474831069 2858054183211 6337424493207 8574162549633 16195640371529 48586921114587 145760763343761