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5413845888 = 273211238839
BaseRepresentation
bin1010000101011000…
…01011101110000000
3111222022002212101200
411002230023232000
542041421032023
62253113301200
7251105634153
oct50254135600
914868085350
105413845888
112328a7a600
121071104800
1368380a409
1439502bc9a
1521a452743
hex142b0bb80

5413845888 has 144 divisors (see below), whose sum is σ = 17124361800. Its totient is φ = 1640517120.

The previous prime is 5413845887. The next prime is 5413845901. The reversal of 5413845888 is 8885483145.

5413845888 is a `hidden beast` number, since 54 + 1 + 3 + 8 + 4 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413845887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119973 + ... + 158811.

Almost surely, 25413845888 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 5413845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8562180900).

5413845888 is an abundant number, since it is smaller than the sum of its proper divisors (11710515912).

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

5413845888 is a wasteful number, since it uses less digits than its factorization.

5413845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38881 (or 38855 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 54.

The square root of 5413845888 is about 73578.8413064517. The cubic root of 5413845888 is about 1755.9088306643.

The spelling of 5413845888 in words is "five billion, four hundred thirteen million, eight hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 38839 46464 69696 77678 116517 139392 155356 233034 310712 349551 427229 466068 621424 699102 854458 932136 1242848 1281687 1398204 1708916 1864272 2485696 2563374 2796408 3417832 3728544 3845061 4699519 4971392 5126748 5592816 6835664 7457088 7690122 9399038 10253496 11185632 13671328 14098557 14914176 15380244 18798076 20506992 22371264 27342656 28197114 30760488 37596152 41013984 42295671 44742528 54685312 56394228 61520976 75192304 82027968 84591342 112788456 123041952 150384608 164055936 169182684 225576912 246083904 300769216 338365368 451153824 492167808 601538432 676730736 902307648 1353461472 1804615296 2706922944 5413845888