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20014116516 = 22323725159863
BaseRepresentation
bin10010101000111011…
…110010111010100100
31220122211002110110200
4102220323302322210
5311442103212031
613105551550500
71305653116632
oct225073627244
956584073420
1020014116516
1185404a0a69
123a6682b430
131b6c5ab0c4
14d7c11c352
157c21088e6
hex4a8ef2ea4

20014116516 has 72 divisors (see below), whose sum is σ = 52166447424. Its totient is φ = 6465096000.

The previous prime is 20014116511. The next prime is 20014116523. The reversal of 20014116516 is 61561141002.

20014116516 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 1 + 1 + 651 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20014116516.

It is not an unprimeable number, because it can be changed into a prime (20014116511) 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, 304401 + ... + 364263.

It is an arithmetic number, because the mean of its divisors is an integer number (724533992).

Almost surely, 220014116516 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 20014116516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26083223712).

20014116516 is an abundant number, since it is smaller than the sum of its proper divisors (32152330908).

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

20014116516 is a wasteful number, since it uses less digits than its factorization.

20014116516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60161 (or 60156 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 20014116516 its reverse (61561141002), we get a palindrome (81575257518).

The spelling of 20014116516 in words is "twenty billion, fourteen million, one hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 251 333 444 502 666 753 1004 1332 1506 2259 3012 4518 9036 9287 18574 27861 37148 55722 59863 83583 111444 119726 167166 179589 239452 334332 359178 538767 718356 1077534 2155068 2214931 4429862 6644793 8859724 13289586 15025613 19934379 26579172 30051226 39868758 45076839 60102452 79737516 90153678 135230517 180307356 270461034 540922068 555947681 1111895362 1667843043 2223790724 3335686086 5003529129 6671372172 10007058258 20014116516