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10645621144002 = 23213591315886157
BaseRepresentation
bin1001101011101010000001…
…1101110111100111000010
31101200201012122022112202200
42122322200131313213002
52343404213003102002
634350310354454030
72146056262462125
oct232724035674702
941621178275680
1010645621144002
113434867672309
12123b238b94316
135c2b545b67a0
1428b3723303bc
15136db4ee6b1c
hex9aea07779c2

10645621144002 has 96 divisors (see below), whose sum is σ = 25453630762560. Its totient is φ = 3195476369280.

The previous prime is 10645621144001. The next prime is 10645621144021. The reversal of 10645621144002 is 20044112654601.

10645621144002 is a `hidden beast` number, since 1 + 0 + 645 + 6 + 2 + 1 + 1 + 4 + 4 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×106456211440022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10645621144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134493 + ... + 4751664.

It is an arithmetic number, because the mean of its divisors is an integer number (265141987110).

Almost surely, 210645621144002 is an apocalyptic number.

10645621144002 is an abundant number, since it is smaller than the sum of its proper divisors (14808009618558).

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

10645621144002 is a wasteful number, since it uses less digits than its factorization.

10645621144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886368 (or 5886365 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 10645621144002 its reverse (20044112654601), we get a palindrome (30689733798603).

The spelling of 10645621144002 in words is "ten trillion, six hundred forty-five billion, six hundred twenty-one million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 131 177 234 262 354 393 531 767 786 1062 1179 1534 1703 2301 2358 3406 4602 5109 6903 7729 10218 13806 15327 15458 23187 30654 46374 69561 100477 139122 200954 301431 602862 904293 1808586 5886157 11772314 17658471 35316942 52975413 76520041 105950826 153040082 229560123 347283263 459120246 688680369 694566526 771086567 1041849789 1377360738 1542173134 2083699578 2313259701 3125549367 4514682419 4626519402 6251098734 6939779103 9029364838 10024125371 13544047257 13879558206 20048250742 27088094514 30072376113 40632141771 45494107453 60144752226 81264283542 90217128339 90988214906 136482322359 180434256678 272964644718 409446967077 591423396889 818893934154 1182846793778 1774270190667 3548540381334 5322810572001 10645621144002