Search a number
-
+
5708373888 = 273712771663
BaseRepresentation
bin1010101000011111…
…01101111110000000
3112201211022102212010
411110033231332000
543142320431023
62342234132520
7261313243320
oct52417557600
915654272763
105708373888
11246a256878
121133881140
136cc840639
143c21b9280
15236230093
hex1543edf80

5708373888 has 128 divisors (see below), whose sum is σ = 17352990720. Its totient is φ = 1628706816.

The previous prime is 5708373877. The next prime is 5708373893. The reversal of 5708373888 is 8883738075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3431745 + ... + 3433407.

It is an arithmetic number, because the mean of its divisors is an integer number (135570240).

Almost surely, 25708373888 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 5708373888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676495360).

5708373888 is an abundant number, since it is smaller than the sum of its proper divisors (11644616832).

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

5708373888 is a wasteful number, since it uses less digits than its factorization.

5708373888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The square root of 5708373888 is about 75553.7814275368. The cubic root of 5708373888 is about 1787.1903205056.

The spelling of 5708373888 in words is "five billion, seven hundred eight million, three hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1277 1344 1663 2554 2688 3326 3831 4989 5108 6652 7662 8939 9978 10216 11641 13304 15324 17878 19956 20432 23282 26608 26817 30648 34923 35756 39912 40864 46564 53216 53634 61296 69846 71512 79824 81728 93128 106432 107268 122592 139692 143024 159648 163456 186256 212864 214536 245184 279384 286048 319296 372512 429072 490368 558768 572096 638592 745024 858144 1117536 1144192 1490048 1716288 2123651 2235072 3432576 4247302 4470144 6370953 8494604 12741906 14865557 16989208 25483812 29731114 33978416 44596671 50967624 59462228 67956832 89193342 101935248 118924456 135913664 178386684 203870496 237848912 271827328 356773368 407740992 475697824 713546736 815481984 951395648 1427093472 1902791296 2854186944 5708373888