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16820731564 = 22721323116381
BaseRepresentation
bin11111010101001011…
…11111111010101100
31121102021011200211221
433222211333322230
5233422101402224
611421034353124
71133555600500
oct175245777254
947367150757
1016820731564
11715195664a
12331528b7a4
131780b17500
14b57d76300
15686ab56e4
hex3ea97feac

16820731564 has 108 divisors (see below), whose sum is σ = 38277263808. Its totient is φ = 6439305600.

The previous prime is 16820731531. The next prime is 16820731607. The reversal of 16820731564 is 46513702861.

It is a self number, because there is not a number n which added to its sum of digits gives 16820731564.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1018654 + ... + 1035034.

Almost surely, 216820731564 is an apocalyptic number.

16820731564 is a gapful number since it is divisible by the number (14) 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 16820731564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138631904).

16820731564 is an abundant number, since it is smaller than the sum of its proper divisors (21456532244).

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

16820731564 is a wasteful number, since it uses less digits than its factorization.

16820731564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 16820731564 in words is "sixteen billion, eight hundred twenty million, seven hundred thirty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 169 182 196 217 338 364 403 434 637 676 806 868 1183 1274 1519 1612 2366 2548 2821 3038 4732 5239 5642 6076 8281 10478 11284 16381 16562 19747 20956 32762 33124 36673 39494 65524 73346 78988 114667 146692 212953 229334 256711 425906 458668 507811 513422 802669 851812 1015622 1026844 1490671 1605338 2031244 2768389 2981342 3210676 3554677 5536778 5962684 6601543 7109354 10434697 11073556 13203086 14218708 19378723 20869394 24882739 26406172 38757446 41738788 46210801 49765478 77514892 85820059 92421602 99530956 135651061 171640118 184843204 271302122 323475607 343280236 542604244 600740413 646951214 1201480826 1293902428 2402961652 4205182891 8410365782 16820731564