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54072409548 = 22319235332
BaseRepresentation
bin110010010110111101…
…110111110111001100
312011120101210000022010
4302112331313313030
51341220014101143
640501315221220
73622651616613
oct622675676714
9164511700263
1054072409548
1120a28513683
12a5908a7810
135139694911
14288d53287a
15161716ea33
hexc96f77dcc

54072409548 has 54 divisors (see below), whose sum is σ = 133196626164. Its totient is φ = 17070664608.

The previous prime is 54072409519. The next prime is 54072409561. The reversal of 54072409548 is 84590427045.

It is a junction number, because it is equal to n+sod(n) for n = 54072409497 and 54072409506.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 15303190 + ... + 15306722.

Almost surely, 254072409548 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 54072409548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66598313082).

54072409548 is an abundant number, since it is smaller than the sum of its proper divisors (79124216616).

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

54072409548 is an equidigital number, since it uses as much as digits as its factorization.

54072409548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

Multiplying 54072409548 by its sum of digits (48), we get a square (2595475658304 = 16110482).

The spelling of 54072409548 in words is "fifty-four billion, seventy-two million, four hundred nine thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 3533 4332 7066 10599 14132 21198 42396 67127 134254 201381 268508 402762 805524 1275413 2550826 3826239 5101652 7652478 12482089 15304956 24964178 37446267 49928356 74892534 149785068 237159691 474319382 711479073 948638764 1422958146 2845916292 4506034129 9012068258 13518102387 18024136516 27036204774 54072409548