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10381724661 = 3711371214663
BaseRepresentation
bin10011010101100110…
…01000101111110101
3222210112001020220210
421222303020233311
5132230210142121
64434100220033
7515161126560
oct115263105765
928715036823
1010381724661
114448238440
12201899a619
13c95b00659
14706b2b4d7
1540b661876
hex26acc8bf5

10381724661 has 32 divisors (see below), whose sum is σ = 17724377088. Its totient is φ = 5247339840.

The previous prime is 10381724623. The next prime is 10381724663. The reversal of 10381724661 is 16642718301.

It is not a de Polignac number, because 10381724661 - 211 = 10381722613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381724663) 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 31 ways as a sum of consecutive naturals, for example, 598785 + ... + 615878.

It is an arithmetic number, because the mean of its divisors is an integer number (553886784).

Almost surely, 210381724661 is an apocalyptic number.

10381724661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10381724661 is a deficient number, since it is larger than the sum of its proper divisors (7342652427).

10381724661 is a wasteful number, since it uses less digits than its factorization.

10381724661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214721.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10381724661 in words is "ten billion, three hundred eighty-one million, seven hundred twenty-four thousand, six hundred sixty-one".

Divisors: 1 3 7 11 21 33 37 77 111 231 259 407 777 1221 2849 8547 1214663 3643989 8502641 13361293 25507923 40083879 44942531 93529051 134827593 280587153 314597717 494367841 943793151 1483103523 3460574887 10381724661