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54220311024 = 24311213171263
BaseRepresentation
bin110010011111110010…
…000100100111110000
312011221201002011222120
4302133302010213300
51342020344423044
640524121234240
73626426016345
oct623762044760
9164851064876
1054220311024
1120aa3a52200
12a612332980
13516120a599
1428a50327cc
151625137519
hexc9fc849f0

54220311024 has 120 divisors (see below), whose sum is σ = 155137737216. Its totient is φ = 16304745600.

The previous prime is 54220311011. The next prime is 54220311031. The reversal of 54220311024 is 42011302245.

54220311024 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 54220310985 and 54220311003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725217 + ... + 796479.

Almost surely, 254220311024 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 54220311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77568868608).

54220311024 is an abundant number, since it is smaller than the sum of its proper divisors (100917426192).

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

54220311024 is a wasteful number, since it uses less digits than its factorization.

54220311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71427 (or 71410 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54220311024 its reverse (42011302245), we get a palindrome (96231613269).

The spelling of 54220311024 in words is "fifty-four billion, two hundred twenty million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 131 132 176 242 262 264 363 393 484 524 528 726 786 968 1048 1441 1452 1572 1936 2096 2882 2904 3144 4323 5764 5808 6288 8646 11528 15851 17292 23056 31702 34584 47553 63404 69168 71263 95106 126808 142526 190212 213789 253616 285052 380424 427578 570104 760848 783893 855156 1140208 1567786 1710312 2351679 3135572 3420624 4703358 6271144 8622823 9335453 9406716 12542288 17245646 18670906 18813432 25868469 28006359 34491292 37341812 37626864 51736938 56012718 68982584 74683624 102689983 103473876 112025436 137965168 149367248 205379966 206947752 224050872 308069949 410759932 413895504 448101744 616139898 821519864 1129589813 1232279796 1643039728 2259179626 2464559592 3388769439 4518359252 4929119184 6777538878 9036718504 13555077756 18073437008 27110155512 54220311024