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20501302432 = 2513353139609
BaseRepresentation
bin10011000101111110…
…010000110010100000
31221220202211001220111
4103011332100302200
5313441313134212
613230154021104
71324020124012
oct230576206240
957822731814
1020501302432
1187704a5a56
123b81a17794
131c194c77b0
14dc6ada1b2
157eec8eea7
hex4c5f90ca0

20501302432 has 48 divisors (see below), whose sum is σ = 43590151080. Its totient is φ = 9435267072.

The previous prime is 20501302417. The next prime is 20501302441. The reversal of 20501302432 is 23420310502.

It can be written as a sum of positive squares in 4 ways, for example, as 18269306896 + 2231995536 = 135164^2 + 47244^2 .

It is a super-2 number, since 2×205013024322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77044 + ... + 216652.

Almost surely, 220501302432 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 20501302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795075540).

20501302432 is an abundant number, since it is smaller than the sum of its proper divisors (23088848648).

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

20501302432 is a wasteful number, since it uses less digits than its factorization.

20501302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139985 (or 139977 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 20501302432 its reverse (23420310502), we get a palindrome (43921612934).

The spelling of 20501302432 in words is "twenty billion, five hundred one million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 353 416 706 1412 2824 4589 5648 9178 11296 18356 36712 73424 139609 146848 279218 558436 1116872 1814917 2233744 3629834 4467488 7259668 14519336 29038672 49281977 58077344 98563954 197127908 394255816 640665701 788511632 1281331402 1577023264 2562662804 5125325608 10250651216 20501302432