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104268930649 = 1325924212
BaseRepresentation
bin110000100011011101…
…0011001111001011001
3100222010200101111012021
41201012322121321121
53202020321240044
6115522301014441
710350611200312
oct1410672317131
9328120344167
10104268930649
1140247102964
121825b554421
139aa9071300
145091dbb609
152aa3dd2e84
hex1846e99e59

104268930649 has 27 divisors (see below), whose sum is σ = 115126156989. Its totient is φ = 94392174240.

The previous prime is 104268930631. The next prime is 104268930677. The reversal of 104268930649 is 946039862401.

The square root of 104268930649 is 322907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83408328025 + 20860602624 = 288805^2 + 144432^2 .

It is not a de Polignac number, because 104268930649 - 25 = 104268930617 is a prime.

It is a super-2 number, since 2×1042689306492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104268930596 and 104268930605.

It is not an unprimeable number, because it can be changed into a prime (104268930629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247669459 + ... + 247669879.

Almost surely, 2104268930649 is an apocalyptic number.

104268930649 is the 322907-th square number.

104268930649 is the 161454-th centered octagonal number.

It is an amenable number.

104268930649 is a deficient number, since it is larger than the sum of its proper divisors (10857226340).

104268930649 is an frugal number, since it uses more digits than its factorization.

104268930649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 104268930649 in words is "one hundred four billion, two hundred sixty-eight million, nine hundred thirty thousand, six hundred forty-nine".

Divisors: 1 13 59 169 421 767 3481 5473 9971 24839 45253 71149 177241 322907 588289 1465501 2304133 4197791 10457219 19051513 29953729 135943847 247669669 616975921 1767270011 8020686973 104268930649