Search a number
-
+
220140011648 = 2711323672
BaseRepresentation
bin1100110100000101011…
…1100000000010000000
3210001012221021021121202
43031001113200002000
512101321320333043
6245044140240332
721622163140064
oct3150127400200
9701187237552
10220140011648
11853a7330027
12367b85400a8
13179b3a0952b
14a924c11aa4
155ad664a1b8
hex33415e0080

220140011648 has 72 divisors (see below), whose sum is σ = 443684529405. Its totient is φ = 108798670848.

The previous prime is 220140011639. The next prime is 220140011671. The reversal of 220140011648 is 846110041022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 139033528384 + 81106483264 = 372872^2 + 284792^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331768.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220140011648.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 599836361 + ... + 599836727.

Almost surely, 2220140011648 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 220140011648

220140011648 is an abundant number, since it is smaller than the sum of its proper divisors (223544517757).

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

220140011648 is an frugal number, since it uses more digits than its factorization.

220140011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 220140011648 in words is "two hundred twenty billion, one hundred forty million, eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 367 452 734 904 1468 1808 2936 3616 5872 7232 11744 12769 14464 23488 25538 41471 46976 51076 82942 102152 134689 165884 204304 269378 331768 408608 538756 663536 817216 1077512 1327072 1634432 2155024 2654144 4310048 4686223 5308288 8620096 9372446 15219857 17240192 18744892 30439714 37489784 60879428 74979568 121758856 149959136 243517712 299918272 487035424 599836544 974070848 1719843841 1948141696 3439687682 6879375364 13758750728 27517501456 55035002912 110070005824 220140011648