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102463744520 = 23541101618593
BaseRepresentation
bin101111101101101010…
…0001010101000001000
3100210110212121112100202
41133123110022220020
53134321204311040
6115023213351332
710255101313064
oct1373324125010
9323425545322
10102463744520
113a5001268a5
1217a36a98548
13987c086837
144d60354aa4
1529ea6a3015
hex17db50aa08

102463744520 has 64 divisors (see below), whose sum is σ = 238505102640. Its totient is φ = 39589888000.

The previous prime is 102463744519. The next prime is 102463744529. The reversal of 102463744520 is 25447364201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 40748267044 + 61715477476 = 201862^2 + 248426^2 .

It is not an unprimeable number, because it can be changed into a prime (102463744529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143657 + ... + 474936.

Almost surely, 2102463744520 is an apocalyptic number.

102463744520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102463744520 is an abundant number, since it is smaller than the sum of its proper divisors (136041358120).

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

102463744520 is a wasteful number, since it uses less digits than its factorization.

102463744520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618746 (or 618742 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 102463744520 in words is "one hundred two billion, four hundred sixty-three million, seven hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 101 164 202 205 328 404 410 505 808 820 1010 1640 2020 4040 4141 8282 16564 20705 33128 41410 82820 165640 618593 1237186 2474372 3092965 4948744 6185930 12371860 24743720 25362313 50724626 62477893 101449252 124955786 126811565 202898504 249911572 253623130 312389465 499823144 507246260 624778930 1014492520 1249557860 2499115720 2561593613 5123187226 10246374452 12807968065 20492748904 25615936130 51231872260 102463744520