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289920923525 = 52192961834157
BaseRepresentation
bin1000011100000001010…
…00100011011110000101
31000201100002100220002102
410032000220203132011
514222224224023100
6341104323321445
726642340121622
oct4160050433605
91021302326072
10289920923525
11101a55891a32
1248231b20285
132145494552c
14100646b7349
15781c8d0cd5
hex4380a23785

289920923525 has 96 divisors (see below), whose sum is σ = 402780470400. Its totient is φ = 206111001600.

The previous prime is 289920923483. The next prime is 289920923531. The reversal of 289920923525 is 525329029982.

It is not a de Polignac number, because 289920923525 - 238 = 15043016581 is a prime.

It is a super-3 number, since 3×2899209235253 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69740747 + ... + 69744903.

It is an arithmetic number, because the mean of its divisors is an integer number (4195629900).

Almost surely, 2289920923525 is an apocalyptic number.

289920923525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289920923525 is a deficient number, since it is larger than the sum of its proper divisors (112859546875).

289920923525 is a wasteful number, since it uses less digits than its factorization.

289920923525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 56.

The spelling of 289920923525 in words is "two hundred eighty-nine billion, nine hundred twenty million, nine hundred twenty-three thousand, five hundred twenty-five".

Divisors: 1 5 19 25 29 61 83 95 145 305 415 475 551 725 1159 1525 1577 1769 2075 2407 2755 4157 5063 5795 7885 8845 12035 13775 20785 25315 28975 33611 39425 44225 45733 60175 78983 96197 103925 120553 126575 146827 168055 228665 253577 345031 394915 480985 602765 734135 840275 1143325 1267885 1725155 1974575 2290507 2404925 2789713 3013825 3670675 4817963 6339425 6555589 7353733 8625775 10005899 11452535 13948565 21046891 24089815 32777945 36768665 50029495 57262675 69742825 105234455 120449075 139720927 163889725 183843325 190112081 250147475 399890929 526172275 610359839 698604635 950560405 1999454645 3051799195 3493023175 4752802025 9997273225 11596836941 15258995975 57984184705 289920923525