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10382949160 = 2351811434109
BaseRepresentation
bin10011010101101111…
…10011101100101000
3222210121100110121121
421222313303230220
5132231013333120
64434142345024
7515204416543
oct115267635450
928717313547
1010382949160
1144489a4421
12201928b174
13c9613bacc
14706d6985a
1540b8045aa
hex26adf3b28

10382949160 has 32 divisors (see below), whose sum is σ = 23490721800. Its totient is φ = 4130231040.

The previous prime is 10382949103. The next prime is 10382949173. The reversal of 10382949160 is 6194928301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8200751364 + 2182197796 = 90558^2 + 46714^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 709815 + ... + 724294.

Almost surely, 210382949160 is an apocalyptic number.

10382949160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10382949160 is an abundant number, since it is smaller than the sum of its proper divisors (13107772640).

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

10382949160 is a wasteful number, since it uses less digits than its factorization.

10382949160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434301 (or 1434297 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 10382949160 in words is "ten billion, three hundred eighty-two million, nine hundred forty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 1434109 2868218 5736436 7170545 11472872 14341090 28682180 57364360 259573729 519147458 1038294916 1297868645 2076589832 2595737290 5191474580 10382949160