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36084434856 = 2332370193253
BaseRepresentation
bin100001100110110011…
…001100011110101000
310110010210020012220020
4201212303030132220
51042400103403411
624324342400440
72415130430661
oct414663143650
9113123205806
1036084434856
11143377a4a98
126bb0730120
133530ab4a02
141a64556368
15e12d8e606
hex866ccc7a8

36084434856 has 64 divisors (see below), whose sum is σ = 94268603520. Its totient is φ = 11488646400.

The previous prime is 36084434843. The next prime is 36084434873. The reversal of 36084434856 is 65843448063.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36084434799 and 36084434808.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 340326 + ... + 433578.

It is an arithmetic number, because the mean of its divisors is an integer number (1472946930).

Almost surely, 236084434856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36084434856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47134301760).

36084434856 is an abundant number, since it is smaller than the sum of its proper divisors (58184168664).

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

36084434856 is a wasteful number, since it uses less digits than its factorization.

36084434856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93986 (or 93982 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 36084434856 in words is "thirty-six billion, eighty-four million, four hundred thirty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 701 1402 2103 2804 4206 5608 8412 16123 16824 32246 48369 64492 93253 96738 128984 186506 193476 279759 373012 386952 559518 746024 1119036 2144819 2238072 4289638 6434457 8579276 12868914 17158552 25737828 51475656 65370353 130740706 196111059 261481412 392222118 522962824 784444236 1503518119 1568888472 3007036238 4510554357 6014072476 9021108714 12028144952 18042217428 36084434856