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534328016384151 = 321117973273045901
BaseRepresentation
bin111100101111101111110111…
…1100111000011000010010111
32121001220021000011122220120100
41321133133233213003002113
51030013412234143243101
65132230522500305143
7220355632233666063
oct17137375747030227
92531807004586510
10534328016384151
1114528726a389880
124bb184236a21b3
1319c1bbb9b63662
1495d3884aa0aa3
1541b9170741e86
hex1e5f7ef9c3097

534328016384151 has 48 divisors (see below), whose sum is σ = 900689863495968. Its totient is φ = 301643910144000.

The previous prime is 534328016384111. The next prime is 534328016384167. The reversal of 534328016384151 is 151483610823435.

It is a happy number.

534328016384151 is a `hidden beast` number, since 5 + 3 + 4 + 32 + 80 + 1 + 6 + 384 + 151 = 666.

It is not a de Polignac number, because 534328016384151 - 26 = 534328016384087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534328016384101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636359700 + ... + 1636686201.

It is an arithmetic number, because the mean of its divisors is an integer number (18764372156166).

Almost surely, 2534328016384151 is an apocalyptic number.

534328016384151 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

534328016384151 is a deficient number, since it is larger than the sum of its proper divisors (366361847111817).

534328016384151 is a wasteful number, since it uses less digits than its factorization.

534328016384151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273046032 (or 3273046029 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 534328016384151 in words is "five hundred thirty-four trillion, three hundred twenty-eight billion, sixteen million, three hundred eighty-four thousand, one hundred fifty-one".

Divisors: 1 3 9 11 17 33 51 97 99 153 187 291 561 873 1067 1649 1683 3201 4947 9603 14841 18139 54417 163251 3273045901 9819137703 29457413109 36003504911 55641780317 108010514733 166925340951 317485452397 324031544199 500776022853 612059583487 952456357191 1836178750461 2857369071573 3492339976367 5397252690749 5508536251383 10477019929101 16191758072247 31431059787303 48575274216741 59369779598239 178109338794717 534328016384151