Search a number
-
+
25800828333328 = 24292063260910331
BaseRepresentation
bin1011101110111001110010…
…01101010010110100010000
310101100112110002101001202201
411313130321031102310100
511340210044023131303
6130512423101052544
75302022402220046
oct567347115226420
9111315402331681
1025800828333328
118248084a71394
122a88459257154
131152013b17a19
14652aa3d8c396
152eb21346b81d
hex177739352d10

25800828333328 has 80 divisors (see below), whose sum is σ = 51762774470400. Its totient is φ = 12443558328320.

The previous prime is 25800828333317. The next prime is 25800828333359. The reversal of 25800828333328 is 82333382800852.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497413123 + ... + 2497423453.

It is an arithmetic number, because the mean of its divisors is an integer number (647034680880).

Almost surely, 225800828333328 is an apocalyptic number.

It is an amenable number.

25800828333328 is an abundant number, since it is smaller than the sum of its proper divisors (25961946137072).

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

25800828333328 is a wasteful number, since it uses less digits than its factorization.

25800828333328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15040 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 55.

The spelling of 25800828333328 in words is "twenty-five trillion, eight hundred billion, eight hundred twenty-eight million, three hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 2063 2609 4126 5218 8252 10331 10436 16504 20662 20872 33008 41324 41744 59827 75661 82648 119654 151322 165296 239308 299599 302644 478616 599198 605288 957232 1198396 1210576 2396792 4793584 5382367 10764734 21312853 21529468 26953579 42625706 43058936 53907158 85251412 86117872 107814316 156088643 170502824 215628632 312177286 341005648 431257264 618072737 624354572 781653791 1236145474 1248709144 1563307582 2472290948 2497418288 3126615164 4944581896 6253230328 9889163792 12506460656 55605233477 111210466954 222420933908 444841867816 889683735632 1612551770833 3225103541666 6450207083332 12900414166664 25800828333328