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77828552840 = 23516091209269
BaseRepresentation
bin100100001111011110…
…0010111100010001000
321102220000011010111002
41020132330113202020
52233343102142330
655430503554132
75423443532603
oct1103674274210
9242800133432
1077828552840
1130009209755
121310075b948
1374542bc83c
143aa461133a
152057a41e45
hex121ef17888

77828552840 has 32 divisors (see below), whose sum is σ = 175223223000. Its totient is φ = 31112047104.

The previous prime is 77828552819. The next prime is 77828552843. The reversal of 77828552840 is 4825582877.

It can be written as a sum of positive squares in 4 ways, for example, as 66823284004 + 11005268836 = 258502^2 + 104906^2 .

It is a super-4 number, since 4×778285528404 (a number of 45 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77828552843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540275 + ... + 668994.

Almost surely, 277828552840 is an apocalyptic number.

It is an amenable number.

77828552840 is an abundant number, since it is smaller than the sum of its proper divisors (97394670160).

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

77828552840 is a wasteful number, since it uses less digits than its factorization.

77828552840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210889 (or 1210885 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 56.

The spelling of 77828552840 in words is "seventy-seven billion, eight hundred twenty-eight million, five hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1609 3218 6436 8045 12872 16090 32180 64360 1209269 2418538 4837076 6046345 9674152 12092690 24185380 48370760 1945713821 3891427642 7782855284 9728569105 15565710568 19457138210 38914276420 77828552840