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54600490296 = 233211421163753
BaseRepresentation
bin110010110110011100…
…010101110100111000
312012221012110021220100
4302312130111310320
51343310211142141
641025541555400
73642023336622
oct626634256470
9165835407810
1054600490296
112117960a550
12a6b9715b60
1351c1bcc231
1428dd717c12
1516486d30b6
hexcb6715d38

54600490296 has 96 divisors (see below), whose sum is σ = 161703799920. Its totient is φ = 16506201600.

The previous prime is 54600490223. The next prime is 54600490319. The reversal of 54600490296 is 69209400645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251556 + ... + 415308.

Almost surely, 254600490296 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 54600490296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80851899960).

54600490296 is an abundant number, since it is smaller than the sum of its proper divisors (107103309624).

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

54600490296 is a wasteful number, since it uses less digits than its factorization.

54600490296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164197 (or 164190 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 54600490296 in words is "fifty-four billion, six hundred million, four hundred ninety thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 421 792 842 1263 1684 2526 3368 3789 4631 5052 7578 9262 10104 13893 15156 18524 27786 30312 37048 41679 55572 83358 111144 163753 166716 327506 333432 491259 655012 982518 1310024 1473777 1801283 1965036 2947554 3602566 3930072 5403849 5895108 7205132 10807698 11790216 14410264 16211547 21615396 32423094 43230792 64846188 68940013 129692376 137880026 206820039 275760052 413640078 551520104 620460117 758340143 827280156 1240920234 1516680286 1654560312 2275020429 2481840468 3033360572 4550040858 4963680936 6066721144 6825061287 9100081716 13650122574 18200163432 27300245148 54600490296