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201043432008 = 233211335370001
BaseRepresentation
bin1011101100111100011…
…1110101001001001000
3201012221001200112010100
42323033013311021020
511243214104311013
6232205202245400
720345020655556
oct2731707651110
9635831615110
10201043432008
117829785a101
1232b69056860
1315c5c555073
149a328d6bd6
155369d84473
hex2ecf1f5248

201043432008 has 96 divisors (see below), whose sum is σ = 550875138840. Its totient is φ = 66232320000.

The previous prime is 201043432003. The next prime is 201043432019. The reversal of 201043432008 is 800234340102.

201043432008 is a `hidden beast` number, since 20 + 1 + 0 + 434 + 3 + 200 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144398480004 + 56644952004 = 379998^2 + 238002^2 .

It is not an unprimeable number, because it can be changed into a prime (201043432003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837008 + ... + 2907008.

Almost surely, 2201043432008 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 201043432008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275437569420).

201043432008 is an abundant number, since it is smaller than the sum of its proper divisors (349831706832).

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

201043432008 is a wasteful number, since it uses less digits than its factorization.

201043432008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70479 (or 70472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 201043432008 in words is "two hundred one billion, forty-three million, four hundred thirty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 353 452 678 706 904 1017 1059 1356 1412 2034 2118 2712 2824 3177 4068 4236 6354 8136 8472 12708 25416 39889 70001 79778 119667 140002 159556 210003 239334 280004 319112 359001 420006 478668 560008 630009 718002 840012 957336 1260018 1436004 1680024 2520036 2872008 5040072 7910113 15820226 23730339 24710353 31640452 47460678 49420706 63280904 71191017 74131059 94921356 98841412 142382034 148262118 189842712 197682824 222393177 284764068 296524236 444786354 569528136 593048472 889572708 1779145416 2792269889 5584539778 8376809667 11169079556 16753619334 22338159112 25130429001 33507238668 50260858002 67014477336 100521716004 201043432008