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10609710444 = 22323175112659
BaseRepresentation
bin10011110000110001…
…10101010101101100
31000101102001010121200
421320120311111230
5133212041213234
64512442525500
7523630023264
oct117030652554
930342033550
1010609710444
1145549a5543
122081206890
131001105b98
147291167a4
15421697d99
hex27863556c

10609710444 has 72 divisors (see below), whose sum is σ = 27723171840. Its totient is φ = 3417660000.

The previous prime is 10609710439. The next prime is 10609710473. The reversal of 10609710444 is 44401790601.

10609710444 is a `hidden beast` number, since 1 + 0 + 609 + 7 + 1 + 0 + 4 + 44 = 666.

10609710444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106097104442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10609710399 and 10609710408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 831787 + ... + 844445.

Almost surely, 210609710444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609710444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861585920).

10609710444 is an abundant number, since it is smaller than the sum of its proper divisors (17113461396).

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

10609710444 is a wasteful number, since it uses less digits than its factorization.

10609710444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10609710444 in words is "ten billion, six hundred nine million, seven hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 751 1116 1502 2253 3004 4506 6759 9012 12659 13518 23281 25318 27036 37977 46562 50636 69843 75954 93124 113931 139686 151908 209529 227862 279372 392429 419058 455724 784858 838116 1177287 1569716 2354574 3531861 4709148 7063722 9506909 14127444 19013818 28520727 38027636 57041454 85562181 114082908 171124362 294714179 342248724 589428358 884142537 1178856716 1768285074 2652427611 3536570148 5304855222 10609710444