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8143381072 = 2417315916369
BaseRepresentation
bin1111001010110001…
…00010001001010000
3210000112012121202101
413211120202021100
5113134201143242
63424020530144
7405541411531
oct74530421120
923015177671
108143381072
1134a97a9802
1216b3250954
139ca1653a8
1457374c688
15329dbd9b7
hex1e5622250

8143381072 has 80 divisors (see below), whose sum is σ = 17538163200. Its totient is φ = 3645480960.

The previous prime is 8143381039. The next prime is 8143381093. The reversal of 8143381072 is 2701833418.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 489304 + ... + 505672.

It is an arithmetic number, because the mean of its divisors is an integer number (219227040).

Almost surely, 28143381072 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 8143381072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769081600).

8143381072 is an abundant number, since it is smaller than the sum of its proper divisors (9394782128).

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

8143381072 is a wasteful number, since it uses less digits than its factorization.

8143381072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16484 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 8143381072 is about 90240.6841286124. The cubic root of 8143381072 is about 2011.8777426382.

The spelling of 8143381072 in words is "eight billion, one hundred forty-three million, three hundred eighty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 31 34 59 62 68 118 124 136 236 248 272 472 496 527 944 1003 1054 1829 2006 2108 3658 4012 4216 7316 8024 8432 14632 16048 16369 29264 31093 32738 62186 65476 124372 130952 248744 261904 278273 497488 507439 556546 965771 1014878 1113092 1931542 2029756 2226184 3863084 4059512 4452368 7726168 8119024 8626463 15452336 16418107 17252926 29938901 32836214 34505852 59877802 65672428 69011704 119755604 131344856 138023408 239511208 262689712 479022416 508961317 1017922634 2035845268 4071690536 8143381072