Search a number
-
+
20146113624 = 23372131317773
BaseRepresentation
bin10010110000110011…
…010100110001011000
31221000000110121110110
4102300303110301120
5312224401113444
613131025044320
71312145066100
oct226063246130
957000417413
1020146113624
1185a8a5738a
123aa2a866a0
131b90a458c0
14d9187c200
157cd9cdcb9
hex4b0cd4c58

20146113624 has 96 divisors (see below), whose sum is σ = 63095019120. Its totient is φ = 5313256704.

The previous prime is 20146113599. The next prime is 20146113629. The reversal of 20146113624 is 42631164102.

It is a super-2 number, since 2×201461136242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20146113591 and 20146113600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20146113629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643599 + ... + 674174.

Almost surely, 220146113624 is an apocalyptic number.

20146113624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20146113624 is an abundant number, since it is smaller than the sum of its proper divisors (42948905496).

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

20146113624 is a wasteful number, since it uses less digits than its factorization.

20146113624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317809 (or 1317798 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 20146113624 its reverse (42631164102), we get a palindrome (62777277726).

The spelling of 20146113624 in words is "twenty billion, one hundred forty-six million, one hundred thirteen thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 1317773 2635546 3953319 5271092 7906638 9224411 10542184 15813276 17131049 18448822 27673233 31626552 34262098 36897644 51393147 55346466 64570877 68524196 73795288 102786294 110692932 119917343 129141754 137048392 193712631 205572588 221385864 239834686 258283508 359752029 387425262 411145176 479669372 516567016 719504058 774850524 839421401 959338744 1439008116 1549701048 1678842802 2518264203 2878016232 3357685604 5036528406 6715371208 10073056812 20146113624