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133111984827328 = 26134331013364751
BaseRepresentation
bin11110010001000010001100…
…100100100010101111000000
3122110022101022002111012211021
4132101002030210202233000
5114421401321103433303
61151034445052555224
740016011034245603
oct3621021444425700
9573271262435737
10133111984827328
1139460526238181
1212b19bb2482b14
135937538876210
1424c2923b0433a
15105c83529bebd
hex79108c922bc0

133111984827328 has 112 divisors (see below), whose sum is σ = 285402072848256. Its totient is φ = 61233739776000.

The previous prime is 133111984827287. The next prime is 133111984827343. The reversal of 133111984827328 is 823728489111331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364756953 + ... + 365121703.

It is an arithmetic number, because the mean of its divisors is an integer number (2548232793288).

Almost surely, 2133111984827328 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 133111984827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142701036424128).

133111984827328 is an abundant number, since it is smaller than the sum of its proper divisors (152290088020928).

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

133111984827328 is a wasteful number, since it uses less digits than its factorization.

133111984827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366222 (or 366212 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 61.

The spelling of 133111984827328 in words is "one hundred thirty-three trillion, one hundred eleven billion, nine hundred eighty-four million, eight hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 433 832 866 1013 1732 2026 3464 4052 5629 6928 8104 11258 13169 13856 16208 22516 26338 27712 32416 45032 52676 64832 90064 105352 180128 210704 360256 364751 421408 438629 729502 842816 877258 1459004 1754516 2918008 3509032 4741763 5702177 5836016 7018064 9483526 11404354 11672032 14036128 18967052 22808708 23344064 28072256 37934104 45617416 75868208 91234832 151736416 157937183 182469664 303472832 315874366 364939328 369492763 631748732 738985526 1263497464 1477971052 2053183379 2526994928 2955942104 4106366758 4803405919 5053989856 5911884208 8212733516 9606811838 10107979712 11823768416 16425467032 19213623676 23647536832 32850934064 38427247352 65701868128 76854494704 131403736256 153708989408 159990366379 307417978816 319980732758 639961465516 1279922931032 2079874762927 2559845862064 4159749525854 5119691724128 8319499051708 10239383448256 16638998103416 33277996206832 66555992413664 133111984827328