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77956193408 = 271766934469
BaseRepresentation
bin100100010011010001…
…1010001110010000000
321110012220022221102112
41020212203101302000
52234123241142113
655451303434452
75426553465542
oct1104643216200
9243186287375
1077956193408
1130074269a25
1213137455a28
1374748903c2
143ab7559692
152063d565a8
hex12268d1c80

77956193408 has 32 divisors (see below), whose sum is σ = 155316649500. Its totient is φ = 38974759936.

The previous prime is 77956193407. The next prime is 77956193443. The reversal of 77956193408 is 80439165977.

It can be written as a sum of positive squares in 2 ways, for example, as 77021790784 + 934402624 = 277528^2 + 30568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (77956193407) 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 3 ways as a sum of consecutive naturals, for example, 2244398 + ... + 2278866.

Almost surely, 277956193408 is an apocalyptic number.

It is an amenable number.

77956193408 is a deficient number, since it is larger than the sum of its proper divisors (77360456092).

77956193408 is a wasteful number, since it uses less digits than its factorization.

77956193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52152 (or 52140 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 77956193408 in words is "seventy-seven billion, nine hundred fifty-six million, one hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 17669 34469 35338 68938 70676 137876 141352 275752 282704 551504 565408 1103008 1130816 2206016 2261632 4412032 609032761 1218065522 2436131044 4872262088 9744524176 19489048352 38978096704 77956193408