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337749942272 = 21364212
BaseRepresentation
bin1001110101000110111…
…01110010000000000000
31012021210101002210022012
410322203131302000000
521013202441123042
6415054333232052
733254521066151
oct4724335620000
91167711083265
10337749942272
1112026a0456a6
125555b932628
1325b079a4062
14124c0961928
158bbb88be82
hex4ea3772000

337749942272 has 42 divisors (see below), whose sum is σ = 675563866929. Its totient is φ = 168848670720.

The previous prime is 337749942253. The next prime is 337749942289. The reversal of 337749942272 is 272249947733.

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 320011964416 + 17737977856 = 565696^2 + 133184^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=410944.

It is a super-2 number, since 2×3377499422722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 52597622 + ... + 52604042.

Almost surely, 2337749942272 is an apocalyptic number.

337749942272 is a gapful number since it is divisible by the number (32) 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 337749942272

337749942272 is an abundant number, since it is smaller than the sum of its proper divisors (337813924657).

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

337749942272 is an frugal number, since it uses more digits than its factorization.

337749942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 6423 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 59.

The spelling of 337749942272 in words is "three hundred thirty-seven billion, seven hundred forty-nine million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 6421 8192 12842 25684 51368 102736 205472 410944 821888 1643776 3287552 6575104 13150208 26300416 41229241 52600832 82458482 164916964 329833928 659667856 1319335712 2638671424 5277342848 10554685696 21109371392 42218742784 84437485568 168874971136 337749942272