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10364440044996 = 2232287901112361
BaseRepresentation
bin1001011011010010100011…
…0001000110010111000100
31100200211102122110202000200
42112310220301012113010
52324302333122414441
634013205200010500
72116543325536152
oct226645061062704
940624378422020
1010364440044996
113336597228954
1211b4846000a30
135a249355846b
1427b8da6a43d2
1512e909a4d7b6
hex96d28c465c4

10364440044996 has 18 divisors (see below), whose sum is σ = 26199001224942. Its totient is φ = 3454813348320.

The previous prime is 10364440044971. The next prime is 10364440044997. The reversal of 10364440044996 is 69944004446301.

10364440044996 is a `hidden beast` number, since 1 + 0 + 36 + 44 + 40 + 0 + 449 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10065136953600 + 299303091396 = 3172560^2 + 547086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (10364440044997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143950556145 + ... + 143950556216.

Almost surely, 210364440044996 is an apocalyptic number.

It is an amenable number.

10364440044996 is an abundant number, since it is smaller than the sum of its proper divisors (15834561179946).

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

10364440044996 is a wasteful number, since it uses less digits than its factorization.

10364440044996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287901112371 (or 287901112366 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 10364440044996 in words is "ten trillion, three hundred sixty-four billion, four hundred forty million, forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 287901112361 575802224722 863703337083 1151604449444 1727406674166 2591110011249 3454813348332 5182220022498 10364440044996