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20611724130 = 23652827397
BaseRepresentation
bin10011001100100011…
…011111001101100010
31222012110121002000000
4103030203133031202
5314203100133010
613245140440430
71326530523114
oct231443371542
958173532000
1020611724130
118817865458
123bb29a9116
131c36349a8a
14dd76413b4
158098027c0
hex4cc8df362

20611724130 has 56 divisors (see below), whose sum is σ = 55626228252. Its totient is φ = 5496457824.

The previous prime is 20611724129. The next prime is 20611724167. The reversal of 20611724130 is 3142711602.

20611724130 is a `hidden beast` number, since 2 + 0 + 611 + 7 + 2 + 41 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20609186481 + 2537649 = 143559^2 + 1593^2 .

It is a super-2 number, since 2×206117241302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20611724094 and 20611724103.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1406409 + ... + 1420988.

Almost surely, 220611724130 is an apocalyptic number.

20611724130 is an abundant number, since it is smaller than the sum of its proper divisors (35014504122).

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

20611724130 is an equidigital number, since it uses as much as digits as its factorization.

20611724130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827422 (or 2827407 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20611724130 in words is "twenty billion, six hundred eleven million, seven hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 2827397 5654794 8482191 14136985 16964382 25446573 28273970 42410955 50893146 76339719 84821910 127232865 152679438 229019157 254465730 381698595 458038314 687057471 763397190 1145095785 1374114942 2061172413 2290191570 3435287355 4122344826 6870574710 10305862065 20611724130