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16565451056 = 24711113257463
BaseRepresentation
bin11110110110110000…
…01011100100110000
31120202110211002211022
433123120023210300
5232411223413211
611335435035012
71124336003450
oct173330134460
946673732738
1016565451056
117030846620
12326389ba68
13173cc7645b
14b320c3d60
1566e48bbdb
hex3db60b930

16565451056 has 160 divisors (see below), whose sum is σ = 40613971968. Its totient is φ = 6358302720.

The previous prime is 16565451053. The next prime is 16565451103. The reversal of 16565451056 is 65015456561.

It is a happy number.

16565451056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 16565450998 and 16565451016.

It is not an unprimeable number, because it can be changed into a prime (16565451053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35778281 + ... + 35778743.

Almost surely, 216565451056 is an apocalyptic number.

16565451056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16565451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306985984).

16565451056 is an abundant number, since it is smaller than the sum of its proper divisors (24048520912).

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

16565451056 is a wasteful number, since it uses less digits than its factorization.

16565451056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 44.

The spelling of 16565451056 in words is "sixteen billion, five hundred sixty-five million, four hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 113 154 176 226 257 308 452 463 514 616 791 904 926 1028 1232 1243 1582 1799 1808 1852 2056 2486 2827 3164 3241 3598 3704 4112 4972 5093 5654 6328 6482 7196 7408 8701 9944 10186 11308 12656 12964 14392 17402 19789 19888 20372 22616 25928 28784 29041 34804 35651 39578 40744 45232 51856 52319 58082 69608 71302 79156 81488 104638 116164 118991 139216 142604 158312 203287 209276 232328 237982 285208 316624 319451 366233 406574 418552 464656 475964 570416 575509 638902 732466 813148 832937 837104 951928 1151018 1277804 1308901 1464932 1626296 1665874 1903856 2236157 2302036 2555608 2617802 2929864 3252592 3331748 4028563 4472314 4604072 5111216 5235604 5859728 6663496 8057126 8944628 9162307 9208144 10471208 13326992 13445983 16114252 17889256 18324614 20942416 26891966 32228504 35778512 36649228 53783932 64457008 73298456 94121881 107567864 146596912 147905813 188243762 215135728 295811626 376487524 591623252 752975048 1035340691 1183246504 1505950096 2070681382 2366493008 4141362764 8282725528 16565451056