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54016554141 = 321161149173347
BaseRepresentation
bin110010010011101000…
…110011010010011101
312011102111200021002100
4302103220303102131
51341111214213031
640452002115313
73621403064064
oct622350632235
9164374607070
1054016554141
11209a9a33690
12a57604bb39
13512ac39294
142885d531db
1516122d9de6
hexc93a3349d

54016554141 has 96 divisors (see below), whose sum is σ = 87848841600. Its totient is φ = 31707993600.

The previous prime is 54016554107. The next prime is 54016554143. The reversal of 54016554141 is 14145561045.

54016554141 is a `hidden beast` number, since 5 + 401 + 65 + 54 + 141 = 666.

54016554141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54016554141 - 26 = 54016554077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54016554096 and 54016554105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54016554143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155667130 + ... + 155667476.

It is an arithmetic number, because the mean of its divisors is an integer number (915092100).

Almost surely, 254016554141 is an apocalyptic number.

It is an amenable number.

54016554141 is a deficient number, since it is larger than the sum of its proper divisors (33832287459).

54016554141 is a wasteful number, since it uses less digits than its factorization.

54016554141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 54016554141 in words is "fifty-four billion, sixteen million, five hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 61 99 149 173 183 347 447 519 549 671 1041 1341 1557 1639 1903 2013 3123 3817 4917 5709 6039 9089 10553 11451 14751 17127 21167 25777 27267 31659 34353 51703 60031 63501 77331 81801 94977 99979 116083 155109 180093 190503 231993 232837 283547 299937 348249 465327 540279 568733 660341 698511 850641 899811 1044747 1572397 1706199 1981023 2095533 2551923 3153883 3661891 4717191 5118597 5943069 8944619 9461649 10985673 14151573 17296367 26833857 28384947 32957019 34692713 40280801 51889101 80501571 98390809 104078139 120842403 155667303 295172427 312234417 362527209 545621759 885517281 1636865277 4910595831 6001839349 18005518047 54016554141