Search a number
-
+
51428442736 = 241119831271459
BaseRepresentation
bin101111111001010111…
…111100001001110000
311220202010200120200101
4233321113330021300
51320311140131421
635343110002144
73500305356556
oct577127741160
9156663616611
1051428442736
111a8a1019240
129b73346354
134b07999708
1426bc327bd6
15150eea7191
hexbf95fc270

51428442736 has 160 divisors (see below), whose sum is σ = 116792524800. Its totient is φ = 21692240640.

The previous prime is 51428442697. The next prime is 51428442757. The reversal of 51428442736 is 63724482415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35248375 + ... + 35249833.

It is an arithmetic number, because the mean of its divisors is an integer number (729953280).

Almost surely, 251428442736 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 51428442736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58396262400).

51428442736 is an abundant number, since it is smaller than the sum of its proper divisors (65364082064).

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

51428442736 is a wasteful number, since it uses less digits than its factorization.

51428442736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The spelling of 51428442736 in words is "fifty-one billion, four hundred twenty-eight million, four hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 83 88 127 152 166 176 209 254 304 332 418 508 664 836 913 1016 1328 1397 1459 1577 1672 1826 2032 2413 2794 2918 3154 3344 3652 4826 5588 5836 6308 7304 9652 10541 11176 11672 12616 14608 16049 17347 19304 21082 22352 23344 25232 26543 27721 32098 34694 38608 42164 53086 55442 64196 69388 84328 106172 110884 115951 121097 128392 138776 168656 185293 200279 212344 221768 231902 242194 256784 277552 304931 370586 400558 424688 443536 463804 484388 609862 741172 801116 927608 968776 1219724 1332067 1482344 1602232 1855216 1937552 2038223 2203069 2300843 2439448 2664134 2964688 3204464 3520567 4076446 4406138 4601686 4878896 5328268 7041134 8152892 8812276 9203372 10656536 14082268 15379319 16305784 17624552 18406744 21313072 25309273 28164536 30758638 32611568 35249104 36813488 38726237 50618546 56329072 61517276 77452474 101237092 123034552 154904948 169172509 202474184 246069104 292207061 309809896 338345018 404948368 584414122 619619792 676690036 1168828244 1353380072 2337656488 2706760144 3214277671 4675312976 6428555342 12857110684 25714221368 51428442736