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9120241872 = 2433717177409
BaseRepresentation
bin10000111111001101…
…11101100011010000
3212112121100021212000
420133212331203100
5122134240214442
64104554234000
7442002530310
oct103746754320
925477307760
109120241872
113960158785
121926425900
13b24660331
14627395440
15385a2dd4c
hex21f9bd8d0

9120241872 has 160 divisors (see below), whose sum is σ = 31678329600. Its totient is φ = 2452488192.

The previous prime is 9120241861. The next prime is 9120241951. The reversal of 9120241872 is 2781420219.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37297 + ... + 140112.

It is an arithmetic number, because the mean of its divisors is an integer number (197989560).

Almost surely, 29120241872 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 9120241872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839164800).

9120241872 is an abundant number, since it is smaller than the sum of its proper divisors (22558087728).

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

9120241872 is a wasteful number, since it uses less digits than its factorization.

9120241872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177450 (or 177438 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9120241872 is about 95499.9574450167. The cubic root of 9120241872 is about 2089.3063235191.

The spelling of 9120241872 in words is "nine billion, one hundred twenty million, two hundred forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 177409 354818 532227 709636 1064454 1241863 1419272 1596681 2128908 2483726 2838544 3015953 3193362 3725589 4257816 4790043 4967452 6031906 6386724 7451178 8515632 9047859 9580086 9934904 11176767 12063812 12773448 14902356 18095718 19160172 19869808 21111671 22353534 24127624 25546896 27143577 29804712 33530301 36191436 38320344 42223342 44707068 48255248 54287154 59609424 63335013 67060602 72382872 76640688 81430731 84446684 89414136 108574308 126670026 134121204 144765744 162861462 168893368 178828272 190005039 217148616 253340052 268242408 325722924 337786736 380010078 434297232 506680104 536484816 570015117 651445848 760020156 1013360208 1140030234 1302891696 1520040312 2280060468 3040080624 4560120936 9120241872