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20154044214 = 2334115595839
BaseRepresentation
bin10010110001010001…
…100100111100110110
31221000120101112012000
4102301101210330312
5312233413403324
613131511040130
71312302356253
oct226121447466
957016345160
1020154044214
118602483797
123aa5670046
131b92591565
14d9294442a
157ce5489c9
hex4b1464f36

20154044214 has 64 divisors (see below), whose sum is σ = 45916416000. Its totient is φ = 6548834880.

The previous prime is 20154044213. The next prime is 20154044227. The reversal of 20154044214 is 41244045102.

20154044214 is a `hidden beast` number, since 201 + 5 + 4 + 0 + 442 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20154044213) 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 31 ways as a sum of consecutive naturals, for example, 3448707 + ... + 3454545.

It is an arithmetic number, because the mean of its divisors is an integer number (717444000).

Almost surely, 220154044214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20154044214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

20154044214 is an abundant number, since it is smaller than the sum of its proper divisors (25762371786).

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

20154044214 is a wasteful number, since it uses less digits than its factorization.

20154044214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7444 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 20154044214 its reverse (41244045102), we get a palindrome (61398089316).

The spelling of 20154044214 in words is "twenty billion, one hundred fifty-four million, forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1559 2214 3118 4677 5839 9354 11678 14031 17517 28062 35034 42093 52551 63919 84186 105102 127838 157653 191757 239399 315306 383514 478798 575271 718197 1150542 1436394 1725813 2154591 3451626 4309182 6463773 9103001 12927546 18206002 27309003 54618006 81927009 163854018 245781027 373223041 491562054 746446082 1119669123 2239338246 3359007369 6718014738 10077022107 20154044214