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65428524100 = 2252255792
BaseRepresentation
bin111100111011110110…
…000000110001000100
320020212211022101212101
4330323312000301010
52032444200232400
650020224201444
74504244164402
oct747366006104
9206784271771
1065428524100
1125825772615
121081ba69284
136229306624
143249822472
151a7e10456a
hexf3bd80c44

65428524100 has 27 divisors (see below), whose sum is σ = 141985448157. Its totient is φ = 26170386480.

The previous prime is 65428524061. The next prime is 65428524103. The reversal of 65428524100 is 142582456.

The square root of 65428524100 is 255790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23554268676 + 41874255424 = 153474^2 + 204632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65428524100.

It is not an unprimeable number, because it can be changed into a prime (65428524103) 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 8 ways as a sum of consecutive naturals, for example, 2545111 + ... + 2570689.

Almost surely, 265428524100 is an apocalyptic number.

65428524100 is the 255790-th square number.

It is an amenable number.

65428524100 is an abundant number, since it is smaller than the sum of its proper divisors (76556924057).

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

65428524100 is an frugal number, since it uses more digits than its factorization.

65428524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51172 (or 25586 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 65428524100 in words is "sixty-five billion, four hundred twenty-eight million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 25579 51158 102316 127895 255790 511580 639475 1278950 2557900 654285241 1308570482 2617140964 3271426205 6542852410 13085704820 16357131025 32714262050 65428524100