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54030413916 = 223253163173729
BaseRepresentation
bin110010010100011101…
…101011000001011100
312011110110202102010100
4302110131223001130
51341123241221131
640453215141100
73621631640433
oct622435530134
9164413672110
1054030413916
1120a0683a746
12a57a814790
135130a7c92b
142887b2011a
1516136267e6
hexc9476b05c

54030413916 has 72 divisors (see below), whose sum is σ = 140008312080. Its totient is φ = 17561816064.

The previous prime is 54030413839. The next prime is 54030413917. The reversal of 54030413916 is 61931403045.

54030413916 is a `hidden beast` number, since 540 + 30 + 41 + 39 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54030413917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224140 + ... + 397868.

It is an arithmetic number, because the mean of its divisors is an integer number (1944559890).

Almost surely, 254030413916 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 54030413916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70004156040).

54030413916 is an abundant number, since it is smaller than the sum of its proper divisors (85977898164).

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

54030413916 is a wasteful number, since it uses less digits than its factorization.

54030413916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173955 (or 173950 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 54030413916 in words is "fifty-four billion, thirty million, four hundred thirteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 163 212 318 326 477 489 636 652 954 978 1467 1908 1956 2934 5868 8639 17278 25917 34556 51834 77751 103668 155502 173729 311004 347458 521187 694916 1042374 1563561 2084748 3127122 6254244 9207637 18415274 27622911 28317827 36830548 55245822 56635654 82868733 84953481 110491644 113271308 165737466 169906962 254860443 331474932 339813924 509720886 1019441772 1500844831 3001689662 4502534493 6003379324 9005068986 13507603479 18010137972 27015206958 54030413916