Search a number
-
+
20063271744 = 263234832069
BaseRepresentation
bin10010101011110111…
…010011101101000000
31220210020120210202200
4102223313103231000
5312042144143434
613114505313200
71310120665425
oct225367235500
956706523680
1020063271744
11856621501a
123a7b195800
131b7982bb39
14d84875d4c
157c65b8199
hex4abdd3b40

20063271744 has 42 divisors (see below), whose sum is σ = 57507747570. Its totient is φ = 6687757056.

The previous prime is 20063271707. The next prime is 20063271751. The reversal of 20063271744 is 44717236002.

20063271744 is a `hidden beast` number, since 2 + 0 + 0 + 632 + 7 + 17 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18309337344 + 1753934400 = 135312^2 + 41880^2 .

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 = 20063271699 and 20063271708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17415459 + ... + 17416610.

It is an arithmetic number, because the mean of its divisors is an integer number (1369232085).

Almost surely, 220063271744 is an apocalyptic number.

20063271744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20063271744 is an abundant number, since it is smaller than the sum of its proper divisors (37444475826).

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

20063271744 is a wasteful number, since it uses less digits than its factorization.

20063271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34832087 (or 34832074 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 20063271744 in words is "twenty billion, sixty-three million, two hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34832069 69664138 104496207 139328276 208992414 278656552 313488621 417984828 557313104 626977242 835969656 1114626208 1253954484 1671939312 2229252416 2507908968 3343878624 5015817936 6687757248 10031635872 20063271744