Search a number
-
+
16025383032 = 23323832571361
BaseRepresentation
bin11101110110010111…
…11111000001111000
31112100211120210202220
432323023333001320
5230304444224112
611210103324040
71105060336221
oct167313770170
945324523686
1016025383032
116883a0250a
123132a50620
131685102889
14ac049c248
1563bd5b98c
hex3bb2ff078

16025383032 has 128 divisors (see below), whose sum is σ = 42504860160. Its totient is φ = 5024645120.

The previous prime is 16025383021. The next prime is 16025383043. The reversal of 16025383032 is 23038352061.

It is an interprime number because it is at equal distance from previous prime (16025383021) and next prime (16025383043).

It is a super-3 number, since 3×160253830323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16025382984 and 16025383002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11774032 + ... + 11775392.

It is an arithmetic number, because the mean of its divisors is an integer number (332069220).

Almost surely, 216025383032 is an apocalyptic number.

16025383032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16025383032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21252430080).

16025383032 is an abundant number, since it is smaller than the sum of its proper divisors (26479477128).

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

16025383032 is a wasteful number, since it uses less digits than its factorization.

16025383032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 16025383032 in words is "sixteen billion, twenty-five million, three hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 257 276 332 498 514 552 664 771 996 1028 1361 1542 1909 1992 2056 2722 3084 3818 4083 5444 5727 5911 6168 7636 8166 10888 11454 11822 15272 16332 17733 21331 22908 23644 31303 32664 35466 42662 45816 47288 62606 63993 70932 85324 93909 112963 125212 127986 141864 170648 187818 225926 250424 255972 338889 349777 375636 451852 490613 511944 677778 699554 751272 903704 981226 1049331 1355556 1399108 1471839 1962452 2098662 2598149 2711112 2798216 2943678 3924904 4197324 5196298 5887356 7794447 8044871 8394648 10392596 11774712 15588894 16089742 20785192 24134613 29031491 31177788 32179484 48269226 58062982 62355576 64358968 87094473 96538452 116125964 174188946 193076904 232251928 348377892 667724293 696755784 1335448586 2003172879 2670897172 4006345758 5341794344 8012691516 16025383032