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10224341012352 = 273171566228709
BaseRepresentation
bin1001010011001000101000…
…1101101100111110000000
31100012102210220102111000210
42110302022031230332000
52320003422244343402
633424555235314120
72103453462444015
oct224621215547600
940172726374023
1010224341012352
113292133a54055
12119166714b940
135921c730108c
14274c09c5770c
1512ae5a2b906c
hex94c8a36cf80

10224341012352 has 64 divisors (see below), whose sum is σ = 28755959115600. Its totient is φ = 3207636393984.

The previous prime is 10224341012329. The next prime is 10224341012357. The reversal of 10224341012352 is 25321014342201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224341012357) 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 7 ways as a sum of consecutive naturals, for example, 783107827 + ... + 783120882.

Almost surely, 210224341012352 is an apocalyptic number.

10224341012352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10224341012352 is an abundant number, since it is smaller than the sum of its proper divisors (18531618103248).

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

10224341012352 is a wasteful number, since it uses less digits than its factorization.

10224341012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566228743 (or 1566228731 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10224341012352 its reverse (25321014342201), we get a palindrome (35545355354553).

The spelling of 10224341012352 in words is "ten trillion, two hundred twenty-four billion, three hundred forty-one million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 1566228709 3132457418 4698686127 6264914836 9397372254 12529829672 18794744508 25059659344 26625888053 37589489016 50119318688 53251776106 75178978032 79877664159 100238637376 106503552212 150357956064 159755328318 200477274752 213007104424 300715912128 319510656636 426014208848 601431824256 639021313272 852028417696 1278042626544 1704056835392 2556085253088 3408113670784 5112170506176 10224341012352