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20553563556 = 22325986311213
BaseRepresentation
bin10011001001000101…
…100111110110100100
31222001102011012200200
4103021011213312210
5314043203013211
613235302110500
71325223256551
oct231105476644
958042135620
1020553563556
118797a50569
123b9741b430
131c27295136
14dcda21a28
15804664b56
hex4c9167da4

20553563556 has 72 divisors (see below), whose sum is σ = 52901372160. Its totient is φ = 6726661824.

The previous prime is 20553563551. The next prime is 20553563573. The reversal of 20553563556 is 65536535502.

It is a happy number.

20553563556 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 3 + 5 + 635 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (20553563551) by changing a digit.

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, 1827406 + ... + 1838618.

It is an arithmetic number, because the mean of its divisors is an integer number (734741280).

Almost surely, 220553563556 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 20553563556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26450686080).

20553563556 is an abundant number, since it is smaller than the sum of its proper divisors (32347808604).

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

20553563556 is a wasteful number, since it uses less digits than its factorization.

20553563556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 20553563556 in words is "twenty billion, five hundred fifty-three million, five hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 863 1062 1726 2124 2589 3452 5178 7767 10356 11213 15534 22426 31068 33639 44852 50917 67278 100917 101834 134556 152751 201834 203668 305502 403668 458253 611004 661567 916506 1323134 1833012 1984701 2646268 3969402 5954103 7938804 9676819 11908206 19353638 23816412 29030457 38707276 58060914 87091371 116121828 174182742 348365484 570932321 1141864642 1712796963 2283729284 3425593926 5138390889 6851187852 10276781778 20553563556