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20154312064 = 272512932141
BaseRepresentation
bin10010110001010010…
…100110010110000000
31221000120220010121101
4102301102212112000
5312234000441224
613131520504144
71312304553205
oct226122462600
957016803541
1020154312064
118602646a57
123aa577b054
131b92656453
14d929b3cac
157ce59d044
hex4b14a6580

20154312064 has 64 divisors (see below), whose sum is σ = 40467606480. Its totient is φ = 9998080000.

The previous prime is 20154312053. The next prime is 20154312103. The reversal of 20154312064 is 46021345102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9412434 + ... + 9414574.

Almost surely, 220154312064 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 20154312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233803240).

20154312064 is an abundant number, since it is smaller than the sum of its proper divisors (20313294416).

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

20154312064 is a wasteful number, since it uses less digits than its factorization.

20154312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 20154312064 its reverse (46021345102), we get a palindrome (66175657166).

The spelling of 20154312064 in words is "twenty billion, one hundred fifty-four million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 251 293 502 586 1004 1172 2008 2141 2344 4016 4282 4688 8032 8564 9376 16064 17128 18752 32128 34256 37504 68512 73543 137024 147086 274048 294172 537391 588344 627313 1074782 1176688 1254626 2149564 2353376 2509252 4299128 4706752 5018504 8598256 9413504 10037008 17196512 20074016 34393024 40148032 68786048 80296064 157455563 314911126 629822252 1259644504 2519289008 5038578016 10077156032 20154312064