Search a number
-
+
108696814864 = 241125921272
BaseRepresentation
bin110010100111011010…
…1011100010100010000
3101101120021020022102221
41211032311130110100
53240102341033424
6121533513550424
710565415452611
oct1451665342420
9341507208387
10108696814864
1142109577900
1219096415414
13a333518241
1453920b3c08
152c629c89e4
hex194ed5c510

108696814864 has 135 divisors (see below), whose sum is σ = 237344770551. Its totient is φ = 48187782720.

The previous prime is 108696814859. The next prime is 108696814901. The reversal of 108696814864 is 468418696801.

The square root of 108696814864 is 329692.

It is a perfect power (a square), and thus also a powerful number.

108696814864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 855880369 + ... + 855880495.

Almost surely, 2108696814864 is an apocalyptic number.

108696814864 is the 329692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108696814864

108696814864 is an abundant number, since it is smaller than the sum of its proper divisors (128647955687).

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

108696814864 is an equidigital number, since it uses as much as digits as its factorization.

108696814864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 61.

The spelling of 108696814864 in words is "one hundred eight billion, six hundred ninety-six million, eight hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 121 127 176 236 242 254 472 484 508 649 944 968 1016 1298 1397 1936 2032 2596 2794 3481 5192 5588 6962 7139 7493 10384 11176 13924 14278 14986 15367 16129 22352 27848 28556 29972 30734 32258 38291 55696 57112 59944 61468 64516 76582 82423 114224 119888 122936 129032 153164 164846 177419 245872 258064 306328 329692 354838 421201 442087 612656 659384 709676 842402 884174 906653 951611 1318768 1419352 1684804 1768348 1813306 1903222 1951609 2838704 3369608 3536696 3626612 3806444 3903218 4862957 6739216 7073392 7253224 7612888 7806436 9725914 10467721 14506448 15225776 15612872 19451828 20935442 31225744 38903656 41870884 53492527 56145049 77807312 83741768 106985054 112290098 115144931 167483536 213970108 224580196 230289862 427940216 449160392 460579724 617595539 855880432 898320784 921159448 1235191078 1842318896 2470382156 4940764312 6793550929 9881528624 13587101858 27174203716 54348407432 108696814864