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54026262045 = 32572319737853
BaseRepresentation
bin110010010100001101…
…110101011000011101
312011110011221110211100
4302110031311120131
51341121210341140
640452550143313
73621551436030
oct622415653035
9164404843740
1054026262045
1120a04464348
12a579351b39
13512cc57bc2
14288735d017
1516130a6530
hexc9437561d

54026262045 has 96 divisors (see below), whose sum is σ = 112246497792. Its totient is φ = 23503366656.

The previous prime is 54026262029. The next prime is 54026262071.

54026262045 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 626 + 20 + 4 + 5 = 666.

54026262045 is nontrivially palindromic in base 10.

54026262045 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 54026262045 - 24 = 54026262029 is a prime.

It is a super-3 number, since 3×540262620453 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408339 + ... + 1446191.

It is an arithmetic number, because the mean of its divisors is an integer number (1169234352).

Almost surely, 254026262045 is an apocalyptic number.

It is an amenable number.

54026262045 is an abundant number, since it is smaller than the sum of its proper divisors (58220235747).

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

54026262045 is a wasteful number, since it uses less digits than its factorization.

54026262045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38091 (or 38088 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 54026262045 in words is "fifty-four billion, twenty-six million, two hundred sixty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 197 207 315 345 483 591 805 985 1035 1379 1449 1773 2415 2955 4137 4531 6895 7245 8865 12411 13593 20685 22655 31717 37853 40779 62055 67965 95151 113559 158585 189265 203895 264971 285453 340677 475755 567795 794913 870619 1324855 1427265 1703385 2384739 2611857 3974565 4353095 6094333 7457041 7835571 11923695 13059285 18282999 22371123 30471665 37285205 39177855 52199287 54848997 67113369 91414995 111855615 156597861 171511943 260996435 274244985 335566845 469793583 514535829 782989305 857559715 1200583601 1543607487 2348967915 2572679145 3601750803 6002918005 7718037435 10805252409 18008754015 54026262045