Search a number
-
+
54338453286 = 231319157409571
BaseRepresentation
bin110010100110110100…
…101111111100100110
312012020221101102200220
4302212310233330212
51342241121001121
640543541345210
73632362142415
oct624664577446
9165227342626
1054338453286
1121054705237
12a645a08206
13517c833a50
1428b69c747c
1516306c26c6
hexca6d2ff26

54338453286 has 128 divisors (see below), whose sum is σ = 124501977600. Its totient is φ = 15672683520.

The previous prime is 54338453263. The next prime is 54338453293. The reversal of 54338453286 is 68235483345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95163381 + ... + 95163951.

It is an arithmetic number, because the mean of its divisors is an integer number (972671700).

Almost surely, 254338453286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54338453286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62250988800).

54338453286 is an abundant number, since it is smaller than the sum of its proper divisors (70163524314).

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

54338453286 is a wasteful number, since it uses less digits than its factorization.

54338453286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its digits is 8294400, while the sum is 51.

The spelling of 54338453286 in words is "fifty-four billion, three hundred thirty-eight million, four hundred fifty-three thousand, two hundred eighty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 157 247 314 409 471 494 571 741 818 942 1142 1227 1482 1713 2041 2454 2983 3426 4082 5317 5966 6123 7423 7771 8949 10634 10849 12246 14846 15542 15951 17898 21698 22269 23313 31902 32547 38779 44538 46626 64213 65094 77558 89647 101023 116337 128426 141037 179294 192639 202046 232674 233539 268941 282074 303069 385278 423111 467078 537882 606138 700617 834769 846222 1165411 1220047 1401234 1669538 1703293 2330822 2440094 2504307 3036007 3406586 3496233 3660141 4437241 5008614 5109879 6072014 6992466 7320282 8874482 9108021 10219758 13311723 15860611 18216042 22142809 26623446 31721222 36665623 44285618 47581833 57684133 66428427 73331246 95163666 109996869 115368266 132856854 173052399 219993738 346104798 476653099 696646837 953306198 1393293674 1429959297 2089940511 2859918594 4179881022 9056408881 18112817762 27169226643 54338453286