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54456014745 = 33511172393787
BaseRepresentation
bin110010101101110101…
…001101011110011001
312012120010121011201000
4302231311031132121
51343011214432440
641003341215213
73635320326246
oct625565153631
9165503534630
1054456014745
1121105000970
12a679261509
13519acb5a42
1428c846a5cd
15163ab95730
hexcadd4d799

54456014745 has 128 divisors (see below), whose sum is σ = 116687278080. Its totient is φ = 23769123840.

The previous prime is 54456014737. The next prime is 54456014761. The reversal of 54456014745 is 54741065445.

54456014745 is a `hidden beast` number, since 5 + 4 + 4 + 560 + 1 + 47 + 45 = 666.

It is not a de Polignac number, because 54456014745 - 23 = 54456014737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 54456014745.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533742 + ... + 627528.

It is an arithmetic number, because the mean of its divisors is an integer number (911619360).

Almost surely, 254456014745 is an apocalyptic number.

54456014745 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54456014745 is an abundant number, since it is smaller than the sum of its proper divisors (62231263335).

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

54456014745 is a wasteful number, since it uses less digits than its factorization.

54456014745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93852 (or 93846 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 54456014745 in words is "fifty-four billion, four hundred fifty-six million, fourteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 17 23 27 33 45 51 55 69 85 99 115 135 153 165 187 207 253 255 297 345 391 459 495 561 621 759 765 935 1035 1173 1265 1485 1683 1955 2277 2295 2805 3105 3519 3795 4301 5049 5865 6831 8415 10557 11385 12903 17595 21505 25245 34155 38709 52785 64515 93787 116127 193545 281361 468935 580635 844083 1031657 1406805 1594379 2157101 2532249 3094971 4220415 4783137 5158285 6471303 7971895 9284913 10785505 12661245 14349411 15474855 17538169 19413909 23728111 23915685 27854739 32356515 36670717 43048233 46424565 52614507 58241727 71184333 71747055 87690845 97069545 110012151 118640555 139273695 157843521 183353585 213552999 215241165 263072535 291208635 330036453 355921665 403377887 473530563 550060755 640658997 789217605 990109359 1067764995 1210133661 1650182265 2016889435 2367652815 3203294985 3630400983 4950546795 6050668305 10891202949 18152004915 54456014745