Search a number
-
+
16160866432 = 273123917041
BaseRepresentation
bin11110000110100001…
…10100000010000000
31112201021112002001121
433003100310002000
5231044140211212
611231343242024
71111324045444
oct170320640200
945637462047
1016160866432
11694342a167
1231702a9314
1316a71bb179
14ad4488824
15648bbed07
hex3c3434080

16160866432 has 64 divisors (see below), whose sum is σ = 33375052800. Its totient is φ = 7786598400.

The previous prime is 16160866411. The next prime is 16160866471. The reversal of 16160866432 is 23466806161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×161608664322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939832 + ... + 956872.

It is an arithmetic number, because the mean of its divisors is an integer number (521485200).

Almost surely, 216160866432 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 16160866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687526400).

16160866432 is an abundant number, since it is smaller than the sum of its proper divisors (17214186368).

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

16160866432 is a wasteful number, since it uses less digits than its factorization.

16160866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17325 (or 17313 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 16160866432 in words is "sixteen billion, one hundred sixty million, eight hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 239 248 478 496 956 992 1912 1984 3824 3968 7409 7648 14818 15296 17041 29636 30592 34082 59272 68164 118544 136328 237088 272656 474176 528271 545312 948352 1056542 1090624 2113084 2181248 4072799 4226168 8145598 8452336 16291196 16904672 32582392 33809344 65164784 67618688 126256769 130329568 252513538 260659136 505027076 521318272 1010054152 2020108304 4040216608 8080433216 16160866432