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77473368006768 = 2432937574183031
BaseRepresentation
bin10001100111011000101100…
…100101000110000001110000
3101011022101022020000000202200
4101213120230211012001300
540123310424202204033
6432434435100143200
722214160165411516
oct2147305445060160
9334271266000680
1077473368006768
112275a2a85711a8
128832a36237b00
13342c926abb806
14151ba33cb64b6
158e53d7c37013
hex46762c946070

77473368006768 has 60 divisors (see below), whose sum is σ = 217049224658448. Its totient is φ = 25796895171840.

The previous prime is 77473368006767. The next prime is 77473368006803. The reversal of 77473368006768 is 86760086337477.

77473368006768 is a `hidden beast` number, since 7 + 7 + 473 + 3 + 6 + 80 + 0 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77473368006696 and 77473368006705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77473368006767) 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 11 ways as a sum of consecutive naturals, for example, 286956588 + ... + 287226443.

Almost surely, 277473368006768 is an apocalyptic number.

It is an amenable number.

77473368006768 is an abundant number, since it is smaller than the sum of its proper divisors (139575856651680).

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

77473368006768 is a wasteful number, since it uses less digits than its factorization.

77473368006768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574183982 (or 574183973 counting only the distinct ones).

The product of its (nonzero) digits is 1194891264, while the sum is 72.

The spelling of 77473368006768 in words is "seventy-seven trillion, four hundred seventy-three billion, three hundred sixty-eight million, six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 33732 44976 67464 134928 574183031 1148366062 1722549093 2296732124 3445098186 4593464248 5167647279 6890196372 9186928496 10335294558 13780392744 20670589116 27560785488 41341178232 82682356464 538009500047 1076019000094 1614028500141 2152038000188 3228057000282 4304076000376 4842085500423 6456114000564 8608152000752 9684171000846 12912228001128 19368342001692 25824456002256 38736684003384 77473368006768