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54437015052 = 223271721160223
BaseRepresentation
bin110010101100101100…
…101110111000001100
312012111210211220000200
4302230230232320030
51342441333440202
641001422053500
73634666664460
oct625454567014
9165453756020
1054437015052
11210a5304142
12a672a1a290
135197092a14
1428c5b224a0
151639190e1c
hexcacb2ee0c

54437015052 has 144 divisors (see below), whose sum is σ = 167305162752. Its totient is φ = 14568906240.

The previous prime is 54437015051. The next prime is 54437015093. The reversal of 54437015052 is 25051073445.

54437015052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54437014998 and 54437015016.

It is not an unprimeable number, because it can be changed into a prime (54437015051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873813 + ... + 934035.

It is an arithmetic number, because the mean of its divisors is an integer number (1161841408).

Almost surely, 254437015052 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 54437015052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83652581376).

54437015052 is an abundant number, since it is smaller than the sum of its proper divisors (112868147700).

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

54437015052 is a wasteful number, since it uses less digits than its factorization.

54437015052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60468 (or 60463 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 54437015052 its reverse (25051073445), we get a palindrome (79488088497).

The spelling of 54437015052 in words is "fifty-four billion, four hundred thirty-seven million, fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 211 238 252 306 357 422 476 612 633 714 844 1071 1266 1428 1477 1899 2142 2532 2954 3587 3798 4284 4431 5908 7174 7596 8862 10761 13293 14348 17724 21522 25109 26586 32283 43044 50218 53172 60223 64566 75327 100436 120446 129132 150654 180669 225981 240892 301308 361338 421561 451962 542007 722676 843122 903924 1023791 1084014 1264683 1686244 2047582 2168028 2529366 3071373 3794049 4095164 5058732 6142746 7166537 7588098 9214119 12285492 12707053 14333074 15176196 18428238 21499611 25414106 28666148 36856476 38121159 42999222 50828212 64498833 76242318 85998444 88949371 114363477 128997666 152484636 177898742 216019901 228726954 257995332 266848113 355797484 432039802 457453908 533696226 648059703 800544339 864079604 1067392452 1296119406 1512139307 1601088678 1944179109 2592238812 3024278614 3202177356 3888358218 4536417921 6048557228 7776716436 9072835842 13609253763 18145671684 27218507526 54437015052