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128250650641 = 2925322332
BaseRepresentation
bin111011101110001010…
…1011010000000010001
3110021001000020002102211
41313130111122000101
54100124131310031
6134530104312121
712160112354311
oct1673425320021
9407030202384
10128250650641
114a433170063
1220a32a72641
13c12b63a079
1462c9019441
1535094b2bb1
hex1ddc55a011

128250650641 has 27 divisors (see below), whose sum is σ = 135962532979. Its totient is φ = 120970408832.

The previous prime is 128250650597. The next prime is 128250650753. The reversal of 128250650641 is 146056052821.

The square root of 128250650641 is 358121.

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

It can be written as a sum of positive squares in 13 ways, for example, as 72403508241 + 55847142400 = 269079^2 + 236320^2 .

It is not a de Polignac number, because 128250650641 - 211 = 128250648593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 128250650594 and 128250650603.

It is not an unprimeable number, because it can be changed into a prime (128250650041) 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 26 ways as a sum of consecutive naturals, for example, 550431861 + ... + 550432093.

Almost surely, 2128250650641 is an apocalyptic number.

128250650641 is the 358121-st square number.

128250650641 is the 179061-st centered octagonal number.

It is an amenable number.

128250650641 is a deficient number, since it is larger than the sum of its proper divisors (7711882338).

128250650641 is an frugal number, since it uses more digits than its factorization.

128250650641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 128250650641 in words is "one hundred twenty-eight billion, two hundred fifty million, six hundred fifty thousand, six hundred forty-one".

Divisors: 1 29 53 233 841 1537 2809 6757 12349 44573 54289 81461 195953 358121 654497 1574381 2362369 2877317 10385509 18980413 45657049 83442193 152497801 550431977 2419823597 4422436229 128250650641