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54950867616 = 25329129115289
BaseRepresentation
bin110011001011010100…
…111011001010100000
312020211121202022020010
4303023110323022200
51400014410230431
641124415444520
73653506445061
oct631324731240
9166747668203
1054950867616
1121339372187
12a796b26740
1352496880a8
142934082568
151669343846
hexccb53b2a0

54950867616 has 96 divisors (see below), whose sum is σ = 149345380800. Its totient is φ = 17670481920.

The previous prime is 54950867599. The next prime is 54950867617. The reversal of 54950867616 is 61676805945.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (54950867617) 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 15 ways as a sum of consecutive naturals, for example, 3586500 + ... + 3601788.

It is an arithmetic number, because the mean of its divisors is an integer number (1555681050).

Almost surely, 254950867616 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 54950867616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74672690400).

54950867616 is an abundant number, since it is smaller than the sum of its proper divisors (94394513184).

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

54950867616 is a wasteful number, since it uses less digits than its factorization.

54950867616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 54950867616 in words is "fifty-four billion, nine hundred fifty million, eight hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1291 1392 2582 2784 3873 5164 7746 10328 15289 15492 20656 30578 30984 37439 41312 45867 61156 61968 74878 91734 112317 122312 123936 149756 183468 224634 244624 299512 366936 443381 449268 489248 599024 733872 886762 898536 1198048 1330143 1467744 1773524 1797072 2660286 3547048 3594144 5320572 7094096 10641144 14188192 19738099 21282288 39476198 42564576 59214297 78952396 118428594 157904792 236857188 315809584 473714376 572404871 631619168 947428752 1144809742 1717214613 1894857504 2289619484 3434429226 4579238968 6868858452 9158477936 13737716904 18316955872 27475433808 54950867616