Search a number
-
+
16716453705 = 3357233112473
BaseRepresentation
bin11111001000110000…
…01101011101001001
31121010222221211112000
433210120031131021
5233213403004310
611402431341213
71131151340430
oct174430153511
947128854460
1016716453705
1170a90030a6
1232a6381809
131765336833
14b48190117
1567c8684c0
hex3e460d749

16716453705 has 128 divisors (see below), whose sum is σ = 35568599040. Its totient is φ = 7283105280.

The previous prime is 16716453683. The next prime is 16716453709. The reversal of 16716453705 is 50735461761.

16716453705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16716453705 - 212 = 16716449609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16716453709) 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 127 ways as a sum of consecutive naturals, for example, 6758349 + ... + 6760821.

It is an arithmetic number, because the mean of its divisors is an integer number (277879680).

Almost surely, 216716453705 is an apocalyptic number.

16716453705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16716453705 is an abundant number, since it is smaller than the sum of its proper divisors (18852145335).

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

16716453705 is a wasteful number, since it uses less digits than its factorization.

16716453705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 16716453705 in words is "sixteen billion, seven hundred sixteen million, four hundred fifty-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 311 315 345 483 621 805 933 945 1035 1449 1555 2177 2415 2473 2799 3105 4347 4665 6531 7153 7245 7419 8397 10885 12365 13995 17311 19593 21459 21735 22257 32655 35765 37095 41985 50071 51933 56879 58779 64377 66771 86555 97965 107295 111285 150213 155799 170637 193131 250355 259665 284395 293895 321885 333855 398153 450639 467397 511911 751065 769103 778995 853185 965655 1194459 1351917 1535733 1990765 2253195 2307309 2336985 2559555 3583377 3845515 5383721 5972295 6759585 6921927 7678665 10750131 11536545 16151163 17689369 17916885 20765781 26918605 34609635 48453489 53068107 53750655 80755815 88446845 103828905 123825583 145360467 159204321 242267445 265340535 371476749 477612963 619127915 726802335 796021605 1114430247 1857383745 2388064815 3343290741 5572151235 16716453705