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829201542050 = 25272183972
BaseRepresentation
bin11000001000100000100…
…00110110101110100010
32221021022110222202222002
430010100100312232202
5102041201043321200
61432532510444002
7113623246546100
oct14042020665642
92837273882862
10829201542050
1129a731720522
12114855b03602
1360268aab73b
142c1c2726c70
1516881c9abd5
hexc110436ba2

829201542050 has 54 divisors (see below), whose sum is σ = 1794218905107. Its totient is φ = 284282218080.

The previous prime is 829201542031. The next prime is 829201542061. The reversal of 829201542050 is 50245102928.

It can be written as a sum of positive squares in 5 ways, for example, as 670497307921 + 158704234129 = 818839^2 + 398377^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=643895.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 829201541995 and 829201542013.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45063452 + ... + 45081848.

Almost surely, 2829201542050 is an apocalyptic number.

829201542050 is an abundant number, since it is smaller than the sum of its proper divisors (965017363057).

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

829201542050 is an frugal number, since it uses more digits than its factorization.

829201542050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36820 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 829201542050 its reverse (50245102928), we get a palindrome (879446644978).

The spelling of 829201542050 in words is "eight hundred twenty-nine billion, two hundred one million, five hundred forty-two thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 18397 36794 91985 128779 183970 257558 459925 643895 901453 919850 1287790 1802906 3219475 4507265 6438950 9014530 22536325 45072650 338449609 676899218 1692248045 2369147263 3384496090 4738294526 8461240225 11845736315 16584030841 16922480450 23691472630 33168061682 59228681575 82920154205 118457363150 165840308410 414600771025 829201542050