Search a number
-
+
20015344656 = 2432773179813
BaseRepresentation
bin10010101001000000…
…011110110000010000
31220122220101212011100
4102221000132300100
5311442412012111
613110034144400
71305666423336
oct225100366020
956586355140
1020015344656
11854115a75a
123a67122100
131b6c91b108
14d7c35bb56
157c229c756
hex4a901ec10

20015344656 has 60 divisors (see below), whose sum is σ = 56087942508. Its totient is φ = 6663113472.

The previous prime is 20015344651. The next prime is 20015344663. The reversal of 20015344656 is 65644351002.

20015344656 is a `hidden beast` number, since 200 + 1 + 5 + 3 + 446 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4093952256 + 15921392400 = 63984^2 + 126180^2 .

It is a super-2 number, since 2×200153446562 (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 self number, because there is not a number n which added to its sum of digits gives 20015344656.

It is not an unprimeable number, because it can be changed into a prime (20015344651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21406 + ... + 201218.

Almost surely, 220015344656 is an apocalyptic number.

It is an amenable number.

20015344656 is an abundant number, since it is smaller than the sum of its proper divisors (36072597852).

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

20015344656 is a wasteful number, since it uses less digits than its factorization.

20015344656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180600 (or 180591 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20015344656 its reverse (65644351002), we get a palindrome (85659695658).

The spelling of 20015344656 in words is "twenty billion, fifteen million, three hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 773 1546 2319 3092 4638 6184 6957 9276 12368 13914 18552 27828 37104 55656 111312 179813 359626 539439 719252 1078878 1438504 1618317 2157756 2877008 3236634 4315512 6473268 8631024 12946536 25893072 138995449 277990898 416986347 555981796 833972694 1111963592 1250959041 1667945388 2223927184 2501918082 3335890776 5003836164 6671781552 10007672328 20015344656