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10052451442341 = 3371124112005489
BaseRepresentation
bin1001001001001000010011…
…0011000001111010100101
31022121000010121212121011000
42102102010303001322211
52304144410032123331
633214011001303513
72055160055266260
oct222220463017245
938530117777130
1010052451442341
113226247854a80
121164295794b99
1357bc32a55939
1426a78126dcd7
15126749b210e6
hex92484cc1ea5

10052451442341 has 64 divisors (see below), whose sum is σ = 18575008819200. Its totient is φ = 5219884166400.

The previous prime is 10052451442333. The next prime is 10052451442373. The reversal of 10052451442341 is 14324415425001.

10052451442341 is a `hidden beast` number, since 1 + 0 + 0 + 524 + 51 + 4 + 42 + 3 + 41 = 666.

It is not a de Polignac number, because 10052451442341 - 23 = 10052451442333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10052451442296 and 10052451442305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052451442321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4009725 + ... + 6015213.

It is an arithmetic number, because the mean of its divisors is an integer number (290234512800).

Almost surely, 210052451442341 is an apocalyptic number.

10052451442341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10052451442341 is a deficient number, since it is larger than the sum of its proper divisors (8522557376859).

10052451442341 is a wasteful number, since it uses less digits than its factorization.

10052451442341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007927 (or 2007921 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10052451442341 its reverse (14324415425001), we get a palindrome (24376866867342).

The spelling of 10052451442341 in words is "ten trillion, fifty-two billion, four hundred fifty-one million, four hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 2411 7233 16877 21699 26521 50631 65097 79563 151893 185647 238689 455679 556941 716067 1670823 2005489 5012469 6016467 14038423 18049401 22060379 42115269 54148203 66181137 126345807 154422653 198543411 379037421 463267959 595630233 1389803877 4169411631 4835233979 14505701937 33846637853 43517105811 53187573769 101539913559 130551317433 159562721307 304619740677 372313016383 478688163921 913859222031 1116939049149 1436064491763 3350817147447 10052451442341