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5115341504 = 267131735077
BaseRepresentation
bin1001100001110010…
…11110101011000000
3111012111102021100202
410300321132223000
540434011412004
62203331304332
7240522454040
oct46071365300
914174367322
105115341504
112195527869
12ba914b0a8
13636a142c0
14367527720
151ee13bb1e
hex130e5eac0

5115341504 has 112 divisors (see below), whose sum is σ = 12567928128. Its totient is φ = 2011557888.

The previous prime is 5115341467. The next prime is 5115341537. The reversal of 5115341504 is 4051435115.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005014 + ... + 1010090.

It is an arithmetic number, because the mean of its divisors is an integer number (112213644).

Almost surely, 25115341504 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 5115341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283964064).

5115341504 is an abundant number, since it is smaller than the sum of its proper divisors (7452586624).

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

5115341504 is a wasteful number, since it uses less digits than its factorization.

5115341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 5115341504 is about 71521.6156417065. The cubic root of 5115341504 is about 1723.0248629189.

Adding to 5115341504 its reverse (4051435115), we get a palindrome (9166776619).

The spelling of 5115341504 in words is "five billion, one hundred fifteen million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 173 182 208 224 346 364 416 448 692 728 832 1211 1384 1456 2249 2422 2768 2912 4498 4844 5077 5536 5824 8996 9688 10154 11072 15743 17992 19376 20308 31486 35539 35984 38752 40616 62972 66001 71078 71968 77504 81232 125944 132002 142156 143936 162464 251888 264004 284312 324928 462007 503776 528008 568624 878321 924014 1007552 1056016 1137248 1756642 1848028 2112032 2274496 3513284 3696056 4224064 6148247 7026568 7392112 11418173 12296494 14053136 14784224 22836346 24592988 28106272 29568448 45672692 49185976 56212544 79927211 91345384 98371952 159854422 182690768 196743904 319708844 365381536 393487808 639417688 730763072 1278835376 2557670752 5115341504