Search a number
-
+
20083645064484 = 22342489712
BaseRepresentation
bin1001001000100000101101…
…00001111010010100100100
32122002222101202102001010000
410210100112201322110210
510113022301114030414
6110414144342101300
74141665306235431
oct444202641722444
978088352361100
1020083645064484
116443476072001
12230441811a830
13b28b58646731
144d60a7156b88
1524c64d368b09
hex12441687a524

20083645064484 has 45 divisors (see below), whose sum is σ = 52502826217611. Its totient is φ = 6694521465960.

The previous prime is 20083645064477. The next prime is 20083645064621. The reversal of 20083645064484 is 48446054638002.

It is a happy number.

The square root of 20083645064484 is 4481478.

It is a perfect power (a square), and thus also a powerful number.

20083645064484 is a `hidden beast` number, since 20 + 0 + 8 + 36 + 4 + 50 + 64 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20083645064484.

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 14 ways as a sum of consecutive naturals, for example, 80542119 + ... + 80791089.

Almost surely, 220083645064484 is an apocalyptic number.

20083645064484 is the 4481478-th square number.

It is an amenable number.

20083645064484 is an abundant number, since it is smaller than the sum of its proper divisors (32419181153127).

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

20083645064484 is an frugal number, since it uses more digits than its factorization.

20083645064484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497958 (or 248976 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 20083645064484 in words is "twenty trillion, eighty-three billion, six hundred forty-five million, sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 248971 497942 746913 995884 1493826 2240739 2987652 4481478 6722217 8962956 13444434 20166651 26888868 40333302 80666604 61986558841 123973117682 185959676523 247946235364 371919353046 557879029569 743838706092 1115758059138 1673637088707 2231516118276 3347274177414 5020911266121 6694548354828 10041822532242 20083645064484