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104921458551 = 327131719396623
BaseRepresentation
bin110000110110111001…
…1100110011101110111
3101000211011020100012100
41201231303212131313
53204334343133201
6120111130553143
710403023453110
oct1415563463567
9330734210170
10104921458551
1140551478818
1218401b987b3
139b812cbab0
145114919207
152ae1329886
hex186dce6777

104921458551 has 96 divisors (see below), whose sum is σ = 207894435840. Its totient is φ = 49346122752.

The previous prime is 104921458531. The next prime is 104921458567. The reversal of 104921458551 is 155854129401.

104921458551 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 2 + 14 + 585 + 51 = 666.

It is not a de Polignac number, because 104921458551 - 25 = 104921458519 is a prime.

It is a super-2 number, since 2×1049214585512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104921458497 and 104921458506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104921458501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66226 + ... + 462848.

It is an arithmetic number, because the mean of its divisors is an integer number (2165567040).

Almost surely, 2104921458551 is an apocalyptic number.

104921458551 is a deficient number, since it is larger than the sum of its proper divisors (102972977289).

104921458551 is a wasteful number, since it uses less digits than its factorization.

104921458551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396685 (or 396682 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 104921458551 in words is "one hundred four billion, nine hundred twenty-one million, four hundred fifty-eight thousand, five hundred fifty-one".

Divisors: 1 3 7 9 13 17 19 21 39 51 57 63 91 117 119 133 153 171 221 247 273 323 357 399 663 741 819 969 1071 1197 1547 1729 1989 2223 2261 2907 4199 4641 5187 6783 12597 13923 15561 20349 29393 37791 88179 264537 396623 1189869 2776361 3569607 5156099 6742591 7535837 8329083 15468297 20227773 22607511 24987249 36092693 46404891 47198137 52750859 60683319 67822533 87653683 97965881 108278079 128109229 141594411 158252577 262961049 293897643 324834237 384327687 424783233 474757731 613575781 685761167 788883147 881692929 896764603 1152983061 1665419977 1840727343 2057283501 2690293809 4996259931 5522182029 6171850503 8070881427 11657939839 14988779793 34973819517 104921458551