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5119351104 = 26375996359
BaseRepresentation
bin1001100010010001…
…10001100101000000
3111012202221222111110
410301020301211000
540441023213404
62203553243320
7240601523610
oct46110614500
914182858443
105119351104
11219781628a
12baa563540
136377b934a
14367c8ca40
151ee67eb89
hex131231940

5119351104 has 112 divisors (see below), whose sum is σ = 15508224000. Its totient is φ = 1460000256.

The previous prime is 5119351103. The next prime is 5119351141. The reversal of 5119351104 is 4011539115.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5119351103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801877 + ... + 808235.

Almost surely, 25119351104 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 5119351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754112000).

5119351104 is an abundant number, since it is smaller than the sum of its proper divisors (10388872896).

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

5119351104 is a wasteful number, since it uses less digits than its factorization.

5119351104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 5119351104 is about 71549.6408376730. The cubic root of 5119351104 is about 1723.4749362382.

The spelling of 5119351104 in words is "five billion, one hundred nineteen million, three hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 599 672 1198 1344 1797 2396 3594 4193 4792 6359 7188 8386 9584 12579 12718 14376 16772 19077 19168 25158 25436 28752 33544 38154 38336 44513 50316 50872 57504 67088 76308 89026 100632 101744 115008 133539 134176 152616 178052 201264 203488 267078 268352 305232 356104 402528 406976 534156 610464 712208 805056 1068312 1220928 1424416 2136624 2848832 3809041 4273248 7618082 8546496 11427123 15236164 22854246 26663287 30472328 45708492 53326574 60944656 79989861 91416984 106653148 121889312 159979722 182833968 213306296 243778624 319959444 365667936 426612592 639918888 731335872 853225184 1279837776 1706450368 2559675552 5119351104