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54039712368 = 24331792331973
BaseRepresentation
bin110010010101000001…
…001001001001110000
312011111010020211012110
4302111001021021300
51341133131243433
640454150325320
73622103655555
oct622501111160
9164433224173
1054039712368
1120a11010814
12a581959840
135132987085
142889060a2c
151614361963
hexc95049270

54039712368 has 160 divisors (see below), whose sum is σ = 146630615040. Its totient is φ = 17128949760.

The previous prime is 54039712343. The next prime is 54039712369. The reversal of 54039712368 is 86321793045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54039712369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27388630 + ... + 27390602.

It is an arithmetic number, because the mean of its divisors is an integer number (916441344).

It is a 1-persistent number, because it is pandigital, but 2⋅54039712368 = 108079424736 is not.

Almost surely, 254039712368 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 54039712368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73315307520).

54039712368 is an abundant number, since it is smaller than the sum of its proper divisors (92590902672).

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

54039712368 is a wasteful number, since it uses less digits than its factorization.

54039712368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 54039712368 in words is "fifty-four billion, thirty-nine million, seven hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 124 158 186 233 237 248 316 372 466 474 496 632 699 744 932 948 1264 1398 1488 1864 1896 1973 2449 2796 3728 3792 3946 4898 5592 5919 7223 7347 7892 9796 11184 11838 14446 14694 15784 18407 19592 21669 23676 28892 29388 31568 36814 39184 43338 47352 55221 57784 58776 61163 73628 86676 94704 110442 115568 117552 122326 147256 155867 173352 183489 220884 244652 294512 311734 346704 366978 441768 459709 467601 489304 570617 623468 733956 883536 919418 935202 978608 1141234 1246936 1379127 1467912 1711851 1838836 1870404 2282468 2493872 2758254 2935824 3423702 3677672 3740808 4564936 4831877 5516508 6847404 7355344 7481616 9129872 9663754 11033016 13694808 14250979 14495631 19327508 22066032 27389616 28501958 28991262 36317011 38655016 42752937 57003916 57982524 72634022 77310032 85505874 108951033 114007832 115965048 145268044 171011748 217902066 228015664 231930096 290536088 342023496 435804132 581072176 684046992 871608264 1125827341 1743216528 2251654682 3377482023 4503309364 6754964046 9006618728 13509928092 18013237456 27019856184 54039712368