Search a number
-
+
20306374432 = 252997722397
BaseRepresentation
bin10010111010010110…
…101010111100100000
31221102012000200221221
4102322112222330200
5313041412440212
613154552024424
71316132222551
oct227226527440
957365020857
1020306374432
118680467733
123b28692114
131bb7cc7c96
14da8c78328
157dcad8807
hex4ba5aaf20

20306374432 has 48 divisors (see below), whose sum is σ = 41400911160. Its totient is φ = 9792606208.

The previous prime is 20306374411. The next prime is 20306374433. The reversal of 20306374432 is 23447360302.

It can be written as a sum of positive squares in 4 ways, for example, as 19634735376 + 671639056 = 140124^2 + 25916^2 .

It is not an unprimeable number, because it can be changed into a prime (20306374433) 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 7 ways as a sum of consecutive naturals, for example, 895458 + ... + 917854.

Almost surely, 220306374432 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 20306374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20700455580).

20306374432 is an abundant number, since it is smaller than the sum of its proper divisors (21094536728).

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

20306374432 is a wasteful number, since it uses less digits than its factorization.

20306374432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23413 (or 23405 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

The spelling of 20306374432 in words is "twenty billion, three hundred six million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 977 1954 3908 7816 15632 22397 28333 31264 44794 56666 89588 113332 179176 226664 358352 453328 649513 716704 906656 1299026 2598052 5196104 10392208 20784416 21881869 43763738 87527476 175054952 350109904 634574201 700219808 1269148402 2538296804 5076593608 10153187216 20306374432