Search a number
-
+
9086971803096 = 23311139553144771
BaseRepresentation
bin1000010000111011100110…
…1110011111010111011000
31012011201001200121012020210
42010032321232133113120
52142340104240144341
631154255222051120
71625340426620355
oct204167156372730
935151050535223
109086971803096
112993843760050
121029148579aa0
1350bb89507385
14235b5175b62c
1510b58dc94c16
hex843b9b9f5d8

9086971803096 has 128 divisors (see below), whose sum is σ = 24966013363200. Its totient is φ = 2733262224000.

The previous prime is 9086971803029. The next prime is 9086971803113. The reversal of 9086971803096 is 6903081796809.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 202943191 + ... + 202987961.

It is an arithmetic number, because the mean of its divisors is an integer number (195046979400).

Almost surely, 29086971803096 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 9086971803096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483006681600).

9086971803096 is an abundant number, since it is smaller than the sum of its proper divisors (15879041560104).

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

9086971803096 is a wasteful number, since it uses less digits than its factorization.

9086971803096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50461 (or 50457 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 9086971803096 in words is "nine trillion, eighty-six billion, nine hundred seventy-one million, eight hundred three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 139 264 278 417 556 834 1112 1529 1668 3058 3336 4587 5531 6116 9174 11062 12232 16593 18348 22124 33186 36696 44248 44771 60841 66372 89542 121682 132744 134313 179084 182523 243364 268626 358168 365046 486728 492481 537252 730092 768809 984962 1074504 1460184 1477443 1537618 1969924 2306427 2954886 3075236 3939848 4612854 5909772 6150472 6223169 8456899 9225708 11819544 12446338 16913798 18451416 18669507 24892676 25370697 33827596 37339014 49785352 50741394 67655192 68454859 74678028 101482788 136909718 149356056 202965576 205364577 247628401 273819436 410729154 495256802 547638872 742885203 821458308 990513604 1485770406 1642916616 1981027208 2723912411 2971540812 5447824822 5943081624 8171737233 10895649644 16343474466 21791299288 32686948932 34420347739 65373897864 68840695478 103261043217 137681390956 206522086434 275362781912 378623825129 413044172868 757247650258 826088345736 1135871475387 1514495300516 2271742950774 3028990601032 4543485901548 9086971803096