Search a number
-
+
54243514320 = 24351773182123
BaseRepresentation
bin110010100001001010…
…100101011111010000
312012000022202000220220
4302201022211133100
51342042314424240
640530310433040
73630130156422
oct624112453720
9165008660826
1054243514320
1121006060186
12a61a062780
135165c72a48
1428a8152812
1516271bc5d0
hexca12a57d0

54243514320 has 160 divisors (see below), whose sum is σ = 180486340992. Its totient is φ = 13427490816.

The previous prime is 54243514313. The next prime is 54243514327. The reversal of 54243514320 is 2341534245.

It is an interprime number because it is at equal distance from previous prime (54243514313) and next prime (54243514327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54243514327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206779 + ... + 388901.

Almost surely, 254243514320 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 54243514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90243170496).

54243514320 is an abundant number, since it is smaller than the sum of its proper divisors (126242826672).

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

54243514320 is a wasteful number, since it uses less digits than its factorization.

54243514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182229 (or 182223 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 54243514320 in words is "fifty-four billion, two hundred forty-three million, five hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 146 170 204 219 240 255 272 292 340 365 408 438 510 584 680 730 816 876 1020 1095 1168 1241 1360 1460 1752 2040 2190 2482 2920 3504 3723 4080 4380 4964 5840 6205 7446 8760 9928 12410 14892 17520 18615 19856 24820 29784 37230 49640 59568 74460 99280 148920 182123 297840 364246 546369 728492 910615 1092738 1456984 1821230 2185476 2731845 2913968 3096091 3642460 4370952 5463690 6192182 7284920 8741904 9288273 10927380 12384364 13294979 14569840 15480455 18576546 21854760 24768728 26589958 30960910 37153092 39884937 43709520 46441365 49537456 53179916 61921820 66474895 74306184 79769874 92882730 106359832 123843640 132949790 148612368 159539748 185765460 199424685 212719664 226014643 247687280 265899580 319079496 371530920 398849370 452029286 531799160 638158992 678043929 743061840 797698740 904058572 1063598320 1130073215 1356087858 1595397480 1808117144 2260146430 2712175716 3190794960 3390219645 3616234288 4520292860 5424351432 6780439290 9040585720 10848702864 13560878580 18081171440 27121757160 54243514320