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1005444205511 = 23536712310607
BaseRepresentation
bin11101010000110010010…
…01010000101111000111
310120010020010122201110012
432220121021100233013
5112433122204034021
62045521130420435
7132432562510214
oct16503111205707
93503203581405
101005444205511
11358452051099
12142a4129171b
1373a75175815
14369414d8b0b
151b2496b435b
hexea19250bc7

1005444205511 has 16 divisors (see below), whose sum is σ = 1084909261824. Its totient is φ = 929499995424.

The previous prime is 1005444205499. The next prime is 1005444205559. The reversal of 1005444205511 is 1155024445001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005444205511 is a prime.

It is a super-4 number, since 4×10054442055114 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005444208511) 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 15 ways as a sum of consecutive naturals, for example, 6073631 + ... + 6236976.

It is an arithmetic number, because the mean of its divisors is an integer number (67806828864).

Almost surely, 21005444205511 is an apocalyptic number.

1005444205511 is a deficient number, since it is larger than the sum of its proper divisors (79465056313).

1005444205511 is a wasteful number, since it uses less digits than its factorization.

1005444205511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310750.

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 1005444205511 in words is "one trillion, five billion, four hundred forty-four million, two hundred five thousand, five hundred eleven".

Divisors: 1 23 53 67 1219 1541 3551 81673 12310607 283143961 652462171 824810669 15006629933 18970645387 43714965457 1005444205511