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20350000212624 = 2432141319445921
BaseRepresentation
bin1001010000010000110101…
…00010001010101010010000
32200001102220111121111200200
410220020122202022222100
510131403300023300444
6111140354441215200
74200144655524015
oct450103242125220
980042814544620
1020350000212624
116536428662105
122347b71a91500
13b47cc5c28074
14504d33b4770c
1525453be2c969
hex12821a88aa90

20350000212624 has 30 divisors (see below), whose sum is σ = 56951736706566. Its totient is φ = 6783333404160.

The previous prime is 20350000212623. The next prime is 20350000212631. The reversal of 20350000212624 is 42621200005302.

It is a happy number.

20350000212624 is a `hidden beast` number, since 2 + 0 + 35 + 0 + 0 + 0 + 0 + 2 + 1 + 2 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16421945760000 + 3928054452624 = 4052400^2 + 1981932^2 .

It is not an unprimeable number, because it can be changed into a prime (20350000212623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70659722817 + ... + 70659723104.

Almost surely, 220350000212624 is an apocalyptic number.

20350000212624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20350000212624 is an abundant number, since it is smaller than the sum of its proper divisors (36601736493942).

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

20350000212624 is a wasteful number, since it uses less digits than its factorization.

20350000212624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141319445935 (or 141319445926 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20350000212624 its reverse (42621200005302), we get a palindrome (62971200217926).

The spelling of 20350000212624 in words is "twenty trillion, three hundred fifty billion, two hundred twelve thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 141319445921 282638891842 423958337763 565277783684 847916675526 1130555567368 1271875013289 1695833351052 2261111134736 2543750026578 3391666702104 5087500053156 6783333404208 10175000106312 20350000212624