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54518046016 = 267237334657
BaseRepresentation
bin110010110001100001…
…110101110101000000
312012201110022200121111
4302301201311311000
51343123104433031
641013434533104
73640002513400
oct626141656500
9165643280544
1054518046016
1121137019985
12a695b97194
1351aaac4435
1428d27b6800
15164134a1b1
hexcb1875d40

54518046016 has 84 divisors (see below), whose sum is σ = 125907724308. Its totient is φ = 23353602048.

The previous prime is 54518046007. The next prime is 54518046019. The reversal of 54518046016 is 61064081545.

It can be written as a sum of positive squares in 2 ways, for example, as 17083535616 + 37434510400 = 130704^2 + 193480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54518046016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54518046019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11704360 + ... + 11709016.

Almost surely, 254518046016 is an apocalyptic number.

54518046016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54518046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62953862154).

54518046016 is an abundant number, since it is smaller than the sum of its proper divisors (71389678292).

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

54518046016 is a wasteful number, since it uses less digits than its factorization.

54518046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 54518046016 in words is "fifty-four billion, five hundred eighteen million, forty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3733 4657 7466 9314 14932 18628 26131 29864 32599 37256 52262 59728 65198 74512 104524 119456 130396 149024 182917 209048 228193 238912 260792 298048 365834 418096 456386 521584 731668 836192 912772 1043168 1463336 1672384 1825544 2086336 2926672 3651088 5853344 7302176 11706688 14604352 17384581 34769162 69538324 121692067 139076648 243384134 278153296 486768268 556306592 851844469 973536536 1112613184 1703688938 1947073072 3407377876 3894146144 6814755752 7788292288 13629511504 27259023008 54518046016