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10348632027460 = 225689621750313
BaseRepresentation
bin1001011010010111101010…
…0010010011000101000100
31100122022121221220020122201
42112211322202103011010
52324022444244334320
634002032415204244
72115443514601366
oct226457242230504
940568557806581
1010348632027460
11332a914a9a351
1211b1773b16684
135a0b444b012c
1427ac3b028d36
1512e2d1d2b70a
hex9697a893144

10348632027460 has 24 divisors (see below), whose sum is σ = 21732187734936. Its totient is φ = 4139441291520.

The previous prime is 10348632027449. The next prime is 10348632027467. The reversal of 10348632027460 is 6472023684301.

It can be written as a sum of positive squares in 4 ways, for example, as 38830278916 + 10309801748544 = 197054^2 + 3210888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10348632027460.

It is not an unprimeable number, because it can be changed into a prime (10348632027467) 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, 13417264 + ... + 14167576.

It is an arithmetic number, because the mean of its divisors is an integer number (905507822289).

Almost surely, 210348632027460 is an apocalyptic number.

10348632027460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10348632027460 is an abundant number, since it is smaller than the sum of its proper divisors (11383555707476).

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

10348632027460 is a wasteful number, since it uses less digits than its factorization.

10348632027460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439943 (or 1439941 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 10348632027460 in words is "ten trillion, three hundred forty-eight billion, six hundred thirty-two million, twenty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 689621 750313 1379242 1500626 2758484 3001252 3448105 3751565 6896210 7503130 13792420 15006260 517431601373 1034863202746 2069726405492 2587158006865 5174316013730 10348632027460