Search a number
-
+
46406813544 = 2334713786983
BaseRepresentation
bin101011001110000011…
…111100011101101000
311102210011121101110000
4223032003330131220
51230020121013134
633152523023000
73232001256330
oct531603743550
9142704541400
1046406813544
1118754488973
128bb166aa60
1344b7506cb0
1423634360c0
1513191cbe99
hexace0fc768

46406813544 has 160 divisors (see below), whose sum is σ = 159978107520. Its totient is φ = 12239144064.

The previous prime is 46406813539. The next prime is 46406813591. The reversal of 46406813544 is 44531860464.

46406813544 is a `hidden beast` number, since 4 + 6 + 40 + 68 + 1 + 3 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46406813544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334524 + ... + 452459.

It is an arithmetic number, because the mean of its divisors is an integer number (999863172).

Almost surely, 246406813544 is an apocalyptic number.

It is an amenable number.

46406813544 is an abundant number, since it is smaller than the sum of its proper divisors (113571293976).

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

46406813544 is a wasteful number, since it uses less digits than its factorization.

46406813544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787021 (or 787008 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46406813544 in words is "forty-six billion, four hundred six million, eight hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 786983 1573966 2360949 3147932 4721898 5508881 6295864 7082847 9443796 10230779 11017762 14165694 16526643 18887592 20461558 21248541 22035524 28331388 30692337 33053286 40923116 42497082 44071048 49579929 56662776 61384674 63745623 66106572 71615453 81846232 84994164 92077011 99159858 122769348 127491246 132213144 143230906 148739787 169988328 184154022 198319716 214846359 245538696 254982492 276231033 286461812 297479574 368308044 396639432 429692718 446219361 509964984 552462066 572923624 594959148 644539077 736616088 828693099 859385436 892438722 1104924132 1189918296 1289078154 1657386198 1718770872 1784877444 1933617231 2209848264 2578156308 3314772396 3569754888 3867234462 5156312616 5800851693 6629544792 7734468924 11601703386 15468937848 23203406772 46406813544