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77378162148 = 22327307056199
BaseRepresentation
bin100100000010000011…
…0010000110111100100
321101201121122220121100
41020010012100313210
52231432302142043
655314054320100
75406334345320
oct1100406206744
9241647586540
1077378162148
112a8a7a56541
1212bb5959030
1373b1bb7081
143a60890980
15202d227cd3
hex1204190de4

77378162148 has 36 divisors (see below), whose sum is σ = 223536913600. Its totient is φ = 22108046256.

The previous prime is 77378162143. The next prime is 77378162159. The reversal of 77378162148 is 84126187377.

77378162148 is a `hidden beast` number, since 7 + 7 + 3 + 7 + 8 + 1 + 621 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 77378162094 and 77378162103.

It is not an unprimeable number, because it can be changed into a prime (77378162143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153527848 + ... + 153528351.

Almost surely, 277378162148 is an apocalyptic number.

It is an amenable number.

77378162148 is an abundant number, since it is smaller than the sum of its proper divisors (146158751452).

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

77378162148 is a wasteful number, since it uses less digits than its factorization.

77378162148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307056216 (or 307056211 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 77378162148 in words is "seventy-seven billion, three hundred seventy-eight million, one hundred sixty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307056199 614112398 921168597 1228224796 1842337194 2149393393 2763505791 3684674388 4298786786 5527011582 6448180179 8597573572 11054023164 12896360358 19344540537 25792720716 38689081074 77378162148