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238312633460811 = 37138271055550241
BaseRepresentation
bin110110001011111001111011…
…110111001110100001001011
31011020210110120011201112212220
4312023321323313032201023
5222214003233131221221
62202503151252505123
7101124343134423120
oct6613717367164113
91136713504645786
10238312633460811
1169a2a902877a38
122288a70291b1a3
13a2c8a28598580
1442bc570586747
151c840d263a0c6
hexd8be7bdce84b

238312633460811 has 32 divisors (see below), whose sum is σ = 391550028968448. Its totient is φ = 125551367746560.

The previous prime is 238312633460767. The next prime is 238312633460821. The reversal of 238312633460811 is 118064336213832.

It is a happy number.

It is not a de Polignac number, because 238312633460811 - 222 = 238312629266507 is a prime.

It is a super-2 number, since 2×2383126334608112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (238312633460821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527549350 + ... + 528000891.

It is an arithmetic number, because the mean of its divisors is an integer number (12235938405264).

Almost surely, 2238312633460811 is an apocalyptic number.

238312633460811 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

238312633460811 is a deficient number, since it is larger than the sum of its proper divisors (153237395507637).

238312633460811 is a wasteful number, since it uses less digits than its factorization.

238312633460811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055551091.

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 238312633460811 in words is "two hundred thirty-eight trillion, three hundred twelve billion, six hundred thirty-three million, four hundred sixty thousand, eight hundred eleven".

Divisors: 1 3 7 13 21 39 91 273 827 2481 5789 10751 17367 32253 75257 225771 1055550241 3166650723 7388851687 13722153133 22166555061 41166459399 96055071931 288165215793 872940049307 2618820147921 6110580345149 11348220640991 18331741035447 34044661922973 79437544486937 238312633460811