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9120345876 = 22331922231049
BaseRepresentation
bin10000111111001110…
…10110111100010100
3212112121112120112000
420133213112330110
5122134302032001
64105000355300
7442003442445
oct103747267424
925477476460
109120345876
113960219934
121926475b30
13b24698785
146273c12cc
15385a4ea86
hex21f9d6f14

9120345876 has 144 divisors (see below), whose sum is σ = 25091136000. Its totient is φ = 2864460672.

The previous prime is 9120345859. The next prime is 9120345889. The reversal of 9120345876 is 6785430219.

9120345876 is a `hidden beast` number, since 9 + 120 + 3 + 458 + 76 = 666.

9120345876 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

9120345876 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8693800 + ... + 8694848.

It is an arithmetic number, because the mean of its divisors is an integer number (174244000).

It is a 1-persistent number, because it is pandigital, but 2⋅9120345876 = 18240691752 is not.

Almost surely, 29120345876 is an apocalyptic number.

9120345876 is the 77976-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9120345876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545568000).

9120345876 is an abundant number, since it is smaller than the sum of its proper divisors (15970790124).

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

9120345876 is a wasteful number, since it uses less digits than its factorization.

9120345876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9120345876 is about 95500.5019672672. The cubic root of 9120345876 is about 2089.3142653914.

The spelling of 9120345876 in words is "nine billion, one hundred twenty million, three hundred forty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 223 228 342 361 446 513 669 684 722 892 1026 1049 1083 1338 1444 2007 2052 2098 2166 2676 3147 3249 4014 4196 4237 4332 6021 6294 6498 8028 8474 9441 9747 12042 12588 12711 12996 16948 18882 19494 19931 24084 25422 28323 37764 38133 38988 39862 50844 56646 59793 76266 79724 80503 113292 114399 119586 152532 161006 179379 228798 233927 239172 241509 322012 358758 378689 457596 467854 483018 538137 701781 717516 724527 757378 935708 966036 1076274 1136067 1403562 1449054 1514756 2105343 2152548 2173581 2272134 2807124 2898108 3408201 4210686 4347162 4444613 4544268 6316029 6816402 8421372 8694324 8889226 10224603 12632058 13333839 13632804 17778452 20449206 25264116 26667678 40001517 40898412 53335356 80003034 84447647 120004551 160006068 168895294 240009102 253342941 337790588 480018204 506685882 760028823 1013371764 1520057646 2280086469 3040115292 4560172938 9120345876