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491253122112 = 26335360711941
BaseRepresentation
bin1110010011000001111…
…01111100010001000000
31201222000021102021111020
413021200331330101000
531022041244401422
61013402323145440
750330465432544
oct7114075742100
91658007367436
10491253122112
1117a3806426a5
127b25b815280
133742bc6429c
1419ac369ba24
15cba2ca595c
hex7260f7c440

491253122112 has 112 divisors (see below), whose sum is σ = 1305712676352. Its totient is φ = 163004497920.

The previous prime is 491253122111. The next prime is 491253122119. The reversal of 491253122112 is 211221352194.

It is not an unprimeable number, because it can be changed into a prime (491253122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41134062 + ... + 41146002.

It is an arithmetic number, because the mean of its divisors is an integer number (11658148896).

Almost surely, 2491253122112 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 491253122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652856338176).

491253122112 is an abundant number, since it is smaller than the sum of its proper divisors (814459554240).

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

491253122112 is a wasteful number, since it uses less digits than its factorization.

491253122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12906 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The spelling of 491253122112 in words is "four hundred ninety-one billion, two hundred fifty-three million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 353 607 706 1059 1214 1412 1821 2118 2428 2824 3642 4236 4856 5648 7284 8472 9712 11296 11941 14568 16944 19424 22592 23882 29136 33888 35823 38848 47764 58272 67776 71646 95528 116544 143292 191056 214271 286584 382112 428542 573168 642813 764224 857084 1146336 1285626 1714168 2292672 2571252 3428336 4215173 5142504 6856672 7248187 8430346 10285008 12645519 13713344 14496374 16860692 20570016 21744561 25291038 28992748 33721384 41140032 43489122 50582076 57985496 67442768 86978244 101164152 115970992 134885536 173956488 202328304 231941984 269771072 347912976 404656608 463883968 695825952 809313216 1391651904 2558610011 5117220022 7675830033 10234440044 15351660066 20468880088 30703320132 40937760176 61406640264 81875520352 122813280528 163751040704 245626561056 491253122112