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238328000001 = 33713531830181
BaseRepresentation
bin1101110111110101110…
…1001010111000000001
3211210011111011211012000
43131331131022320001
512401043432000001
6301253020054213
723134663401150
oct3357535127001
9753144154160
10238328000001
119208aa40963
123a233694369
1319621b79a10
14b76c5b5597
1562ed288a86
hex377d74ae01

238328000001 has 64 divisors (see below), whose sum is σ = 442757629440. Its totient is φ = 123339490560.

The previous prime is 238327999991. The next prime is 238328000003. The reversal of 238328000001 is 100000823832.

238328000001 is a `hidden beast` number, since 2 + 383 + 280 + 0 + 0 + 0 + 0 + 1 = 666.

It is a Cunningham number, because it is equal to 62003+1.

It is not a de Polignac number, because 238328000001 - 29 = 238327999489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (238328000003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784870 + ... + 1045311.

It is an arithmetic number, because the mean of its divisors is an integer number (6918087960).

Almost surely, 2238328000001 is an apocalyptic number.

238328000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

238328000001 is a deficient number, since it is larger than the sum of its proper divisors (204429629439).

238328000001 is a wasteful number, since it uses less digits than its factorization.

238328000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830263 (or 1830257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 238328000001 its reverse (100000823832), we get a palindrome (338328823833).

The spelling of 238328000001 in words is "two hundred thirty-eight billion, three hundred twenty-eight million, one", and thus it is an aban number.

Divisors: 1 3 7 9 13 21 27 39 53 63 91 117 159 189 273 351 371 477 689 819 1113 1431 2067 2457 3339 4823 6201 10017 14469 18603 43407 130221 1830181 5490543 12811267 16471629 23792353 38433801 49414887 71377059 96999593 115301403 166546471 214131177 290998779 345904209 499639413 642393531 678997151 872996337 1260994709 1498918239 2036991453 2618989011 3782984127 4496754717 6110974359 8826962963 11348952381 18332923077 26480888889 34046857143 79442666667 238328000001