Search a number
-
+
296848279922689 = 11229237617127781
BaseRepresentation
bin100001101111110110110000…
…0010001101110100000000001
31102221001102022000120211001101
41003133231200101232200001
5302402030234130011224
62531202114524534401
7116345403051026035
oct10337554021564001
91387042260524041
10296848279922689
118664871521a100
12293632283b1401
13c983898b69851
14534376795c1c5
15244ba8951d044
hex10dfb6046e801

296848279922689 has 72 divisors (see below), whose sum is σ = 347625437907384. Its totient is φ = 253101553689600.

The previous prime is 296848279922687. The next prime is 296848279922737. The reversal of 296848279922689 is 986229972848692.

It can be written as a sum of positive squares in 12 ways, for example, as 117291174311025 + 179557105611664 = 10830105^2 + 13399892^2 .

It is not a de Polignac number, because 296848279922689 - 21 = 296848279922687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (296848279922687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2323037979 + ... + 2323165759.

It is an arithmetic number, because the mean of its divisors is an integer number (4828131082047).

Almost surely, 2296848279922689 is an apocalyptic number.

296848279922689 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

296848279922689 is a deficient number, since it is larger than the sum of its proper divisors (50777157984695).

296848279922689 is a wasteful number, since it uses less digits than its factorization.

296848279922689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128515 (or 128475 counting only the distinct ones).

The product of its digits is 54177693696, while the sum is 91.

The spelling of 296848279922689 in words is "two hundred ninety-six trillion, eight hundred forty-eight billion, two hundred seventy-nine million, nine hundred twenty-two thousand, six hundred eighty-nine".

Divisors: 1 11 29 37 121 319 407 617 841 1073 3509 4477 6787 9251 11803 17893 22829 31117 74657 101761 127781 129833 196823 251119 342287 518897 662041 1405591 2165053 2762309 3705649 3765157 4727897 5707867 7282451 15461501 19199189 40762139 52006867 62786537 78840877 80106961 107463821 137109013 211191079 448383529 572075537 867249647 1182102031 1508199143 2286385433 2323101869 2917112449 3976161377 9539746117 13003122341 16590190573 25150239763 32088236939 43737775147 66305177557 84596261021 276652637393 352970606329 481115526617 729356953127 930558871231 2453291569609 8022926484397 10236147583541 26986207265699 296848279922689