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8109881664 = 2631491971439
BaseRepresentation
bin1111000110110001…
…01111100101000000
3202221012011200012120
413203120233211000
5113102112203124
63420422524240
7404653566603
oct74330574500
922835150176
108109881664
1134918a9145
1216a3b96680
139c3236661
1456d10c33a
15326ea2d79
hex1e362f940

8109881664 has 112 divisors (see below), whose sum is σ = 21726144000. Its totient is φ = 2669664256.

The previous prime is 8109881653. The next prime is 8109881669. The reversal of 8109881664 is 4661889018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8109881669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5635057 + ... + 5636495.

Almost surely, 28109881664 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 8109881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863072000).

8109881664 is an abundant number, since it is smaller than the sum of its proper divisors (13616262336).

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

8109881664 is a wasteful number, since it uses less digits than its factorization.

8109881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 8109881664 is about 90054.8814001773. The cubic root of 8109881664 is about 2009.1151987960.

The spelling of 8109881664 in words is "eight billion, one hundred nine million, eight hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 197 298 394 447 591 596 788 894 1182 1192 1439 1576 1788 2364 2384 2878 3152 3576 4317 4728 4768 5756 6304 7152 8634 9456 9536 11512 12608 14304 17268 18912 23024 28608 29353 34536 37824 46048 58706 69072 88059 92096 117412 138144 176118 214411 234824 276288 283483 352236 428822 469648 566966 643233 704472 850449 857644 939296 1133932 1286466 1408944 1700898 1715288 1878592 2267864 2572932 2817888 3401796 3430576 4535728 5145864 5635776 6803592 6861152 9071456 10291728 13607184 13722304 18142912 20583456 27214368 41166912 42238967 54428736 84477934 126716901 168955868 253433802 337911736 506867604 675823472 1013735208 1351646944 2027470416 2703293888 4054940832 8109881664