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2066420064 = 2537923449
BaseRepresentation
bin111101100101011…
…0001000101100000
312100000100000102110
41323022301011200
513213000420224
6541014315320
7102131165202
oct17312610540
95300300373
102066420064
11970492a85
12498058b40
1326c161587
14158628772
15c1632929
hex7b2b1160

2066420064 has 72 divisors (see below), whose sum is σ = 5495477400. Its totient is φ = 679890432.

The previous prime is 2066420033. The next prime is 2066420077. The reversal of 2066420064 is 4600246602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597412 + ... + 600860.

It is an arithmetic number, because the mean of its divisors is an integer number (76326075).

Almost surely, 22066420064 is an apocalyptic number.

2066420064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747738700).

2066420064 is an abundant number, since it is smaller than the sum of its proper divisors (3429057336).

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

2066420064 is an equidigital number, since it uses as much as digits as its factorization.

2066420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2066420064 is about 45457.8933079834. The cubic root of 2066420064 is about 1273.7167792194.

Adding to 2066420064 its reverse (4600246602), we get a palindrome (6666666666).

The spelling of 2066420064 in words is "two billion, sixty-six million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3449 3792 6241 6898 7584 10347 12482 13796 18723 20694 24964 27592 37446 41388 49928 55184 74892 82776 99856 110368 149784 165552 199712 272471 299568 331104 544942 599136 817413 1089884 1634826 2179768 3269652 4359536 6539304 8719072 13078608 21525209 26157216 43050418 64575627 86100836 129151254 172201672 258302508 344403344 516605016 688806688 1033210032 2066420064