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49512223296 = 263414816449
BaseRepresentation
bin101110000111001010…
…001001001001000000
311201210120222112210000
4232013022021021000
51302400112121141
634425014440000
73401646645144
oct560712111100
9151716875700
1049512223296
1119aa83a5208
129719663000
1348909a7463
142579a3b224
15144bb435b6
hexb87289240

49512223296 has 140 divisors (see below), whose sum is σ = 146891616300. Its totient is φ = 16490373120.

The previous prime is 49512223259. The next prime is 49512223297. The reversal of 49512223296 is 69232221594.

49512223296 is a `hidden beast` number, since 49 + 512 + 2 + 2 + 3 + 2 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37456183296 + 12056040000 = 193536^2 + 109800^2 .

It is not an unprimeable number, because it can be changed into a prime (49512223297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7674280 + ... + 7680728.

Almost surely, 249512223296 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 49512223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73445808150).

49512223296 is an abundant number, since it is smaller than the sum of its proper divisors (97379393004).

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

49512223296 is a wasteful number, since it uses less digits than its factorization.

49512223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7935 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 49512223296 in words is "forty-nine billion, five hundred twelve million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1481 1728 2592 2962 4443 5184 5924 6449 8886 11848 12898 13329 17772 19347 23696 25796 26658 35544 38694 39987 47392 51592 53316 58041 71088 77388 79974 94784 103184 106632 116082 119961 142176 154776 159948 174123 206368 213264 232164 239922 284352 309552 319896 348246 412736 426528 464328 479844 522369 619104 639792 696492 853056 928656 959688 1044738 1238208 1279584 1392984 1857312 1919376 2089476 2559168 2785968 3714624 3838752 4178952 5571936 7677504 8357904 9550969 11143872 16715808 19101938 28652907 33431616 38203876 57305814 76407752 85958721 114611628 152815504 171917442 229223256 257876163 305631008 343834884 458446512 515752326 611262016 687669768 773628489 916893024 1031504652 1375339536 1547256978 1833786048 2063009304 2750679072 3094513956 4126018608 5501358144 6189027912 8252037216 12378055824 16504074432 24756111648 49512223296