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5006081696 = 257112199721
BaseRepresentation
bin1001010100110001…
…01011111010100000
3110220212211022002012
410222120223322200
540223024103241
62144425412052
7235024664240
oct45230537240
913825738065
105006081696
112139891300
12b7863a028
1361a1aab25
14356c05b20
151e47586eb
hex12a62bea0

5006081696 has 144 divisors (see below), whose sum is σ = 13033702080. Its totient is φ = 1847577600.

The previous prime is 5006081683. The next prime is 5006081699. The reversal of 5006081696 is 6961806005.

It is not an unprimeable number, because it can be changed into a prime (5006081699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510116 + ... + 519836.

It is an arithmetic number, because the mean of its divisors is an integer number (90511820).

Almost surely, 25006081696 is an apocalyptic number.

5006081696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006081696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6516851040).

5006081696 is an abundant number, since it is smaller than the sum of its proper divisors (8027620384).

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

5006081696 is a wasteful number, since it uses less digits than its factorization.

5006081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 5006081696 is about 70753.6691345403. The cubic root of 5006081696 is about 1710.6689693607.

The spelling of 5006081696 in words is "five billion, six million, eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 121 133 152 154 176 209 224 242 266 304 308 352 418 484 532 608 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2464 2926 3344 3388 3872 4256 4598 5852 6688 6776 9196 9721 11704 13552 16093 18392 19442 23408 27104 32186 36784 38884 46816 64372 68047 73568 77768 106931 128744 136094 155536 184699 213862 257488 272188 311072 369398 427724 514976 544376 738796 748517 855448 1088752 1176241 1292893 1477592 1497034 1710896 2031689 2177504 2352482 2585786 2955184 2994068 3421792 4063378 4704964 5171572 5910368 5988136 8126756 8233687 9409928 10343144 11976272 14221823 16253512 16467374 18819856 20686288 22348579 23952544 28443646 32507024 32934748 37639712 41372576 44697158 56887292 65014048 65869496 89394316 113774584 131738992 156440053 178788632 227549168 263477984 312880106 357577264 455098336 625760212 715154528 1251520424 2503040848 5006081696