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10609261740 = 22345711175003
BaseRepresentation
bin10011110000101110…
…00111110010101100
31000101101012100010000
421320113013302230
5133211432333430
64512425144300
7523623144150
oct117027076254
930341170100
1010609261740
114554719410
12208102b090
131000ca988c
1472903b060
15421609e60
hex2785c7cac

10609261740 has 480 divisors, whose sum is σ = 43943606784. Its totient is φ = 2074429440.

The previous prime is 10609261739. The next prime is 10609261771. The reversal of 10609261740 is 4716290601.

10609261740 is a `hidden beast` number, since 1 + 0 + 609 + 2 + 6 + 1 + 7 + 40 = 666.

It is a super-2 number, since 2×106092617402 (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 = 10609261695 and 10609261704.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2118079 + ... + 2123081.

Almost surely, 210609261740 is an apocalyptic number.

10609261740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609261740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21971803392).

10609261740 is an abundant number, since it is smaller than the sum of its proper divisors (33334345044).

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

10609261740 is a wasteful number, since it uses less digits than its factorization.

10609261740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10609261740 in words is "ten billion, six hundred nine million, two hundred sixty-one thousand, seven hundred forty".