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54401166064 = 24717187115271
BaseRepresentation
bin110010101010100011…
…111110101011110000
312012102022101120110101
4302222203332223300
51342403144303224
640554101442144
73634053165460
oct625243765360
9165368346411
1054401166064
1121087049283
12a662a10354
13518c8206bb
1428c106dba0
151635e5e044
hexcaa8feaf0

54401166064 has 80 divisors (see below), whose sum is σ = 127622117376. Its totient is φ = 21930163200.

The previous prime is 54401166059. The next prime is 54401166077. The reversal of 54401166064 is 46066110445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3554749 + ... + 3570019.

Almost surely, 254401166064 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 54401166064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63811058688).

54401166064 is an abundant number, since it is smaller than the sum of its proper divisors (73220951312).

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

54401166064 is a wasteful number, since it uses less digits than its factorization.

54401166064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174 (or 17168 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 54401166064 in words is "fifty-four billion, four hundred one million, one hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1871 1904 3742 7484 13097 14968 15271 26194 29936 30542 31807 52388 61084 63614 104776 106897 122168 127228 209552 213794 222649 244336 254456 259607 427588 445298 508912 519214 855176 890596 1038428 1710352 1781192 1817249 2076856 3562384 3634498 4153712 7268996 14537992 28572041 29075984 57144082 114288164 200004287 228576328 400008574 457152656 485724697 800017148 971449394 1600034296 1942898788 3200068592 3400072879 3885797576 6800145758 7771595152 13600291516 27200583032 54401166064