Search a number
-
+
55111877376 = 283314395273
BaseRepresentation
bin110011010100111011…
…001000001100000000
312021020211201110002120
4303110323020030000
51400332120034001
641152410444240
73660503141223
oct632473101400
9167224643076
1055111877376
11214112441a6
12a820a33680
135273b4033a
14294b5d55ba
15167854a236
hexcd4ec8300

55111877376 has 144 divisors (see below), whose sum is σ = 151783188480. Its totient is φ = 17734164480.

The previous prime is 55111877369. The next prime is 55111877411. The reversal of 55111877376 is 67377811155.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10449076 + ... + 10454348.

It is an arithmetic number, because the mean of its divisors is an integer number (1054049920).

Almost surely, 255111877376 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 55111877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75891594240).

55111877376 is an abundant number, since it is smaller than the sum of its proper divisors (96671311104).

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

55111877376 is a wasteful number, since it uses less digits than its factorization.

55111877376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5748 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 51.

The spelling of 55111877376 in words is "fifty-five billion, one hundred eleven million, eight hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 439 496 744 768 878 992 1317 1488 1756 1984 2634 2976 3512 3968 5268 5273 5952 7024 7936 10536 10546 11904 13609 14048 15819 21072 21092 23808 27218 28096 31638 40827 42144 42184 54436 56192 63276 81654 84288 84368 108872 112384 126552 163308 163463 168576 168736 217744 253104 326616 326926 337152 337472 435488 490389 506208 653232 653852 674944 870976 980778 1012416 1306464 1307704 1349888 1741952 1961556 2024832 2314847 2612928 2615408 3483904 3923112 4049664 4629694 5225856 5230816 6944541 7846224 9259388 10451712 10461632 13889082 15692448 18518776 20923264 27778164 31384896 37037552 41846528 55556328 62769792 71760257 74075104 111112656 125539584 143520514 148150208 215280771 222225312 287041028 296300416 430561542 444450624 574082056 592600832 861123084 888901248 1148164112 1722246168 1777802496 2296328224 3444492336 4592656448 6888984672 9185312896 13777969344 18370625792 27555938688 55111877376