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488120890010 = 251321716989937
BaseRepresentation
bin1110001101001100100…
…01011011001010011010
31201122220222120101210212
413012212101123022122
530444132421440020
61012123432411122
750160043051535
oct7064621331232
91648828511725
10488120890010
11179013576326
127a726846aa2
1337050062300
14198a76b3a1c
15ca6cce1cc5
hex71a645b29a

488120890010 has 48 divisors (see below), whose sum is σ = 1007367403896. Its totient is φ = 169627521024.

The previous prime is 488120890009. The next prime is 488120890013. The reversal of 488120890010 is 10098021884.

It can be written as a sum of positive squares in 12 ways, for example, as 28478925049 + 459641964961 = 168757^2 + 677969^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 488120890010.

It is not an unprimeable number, because it can be changed into a prime (488120890013) 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 23 ways as a sum of consecutive naturals, for example, 8466239 + ... + 8523698.

Almost surely, 2488120890010 is an apocalyptic number.

488120890010 is an abundant number, since it is smaller than the sum of its proper divisors (519246513886).

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

488120890010 is a wasteful number, since it uses less digits than its factorization.

488120890010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16989987 (or 16989974 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 488120890010 in words is "four hundred eighty-eight billion, one hundred twenty million, eight hundred ninety thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 338 442 845 1105 1690 2210 2873 5746 14365 28730 16989937 33979874 84949685 169899370 220869181 288828929 441738362 577657858 1104345905 1444144645 2208691810 2871299353 2888289290 3754776077 5742598706 7509552154 14356496765 18773880385 28712993530 37547760770 48812089001 97624178002 244060445005 488120890010