Search a number
-
+
16779819868 = 227471312743
BaseRepresentation
bin11111010000010011…
…11011101101011100
31121022102012011112221
433220021323231130
5233331113213433
611413013435124
71132551054430
oct175011735534
947272164487
1016779819868
117130853029
12330363baa4
1317754c19c6
14b527669c0
156831d372d
hex3e827bb5c

16779819868 has 72 divisors (see below), whose sum is σ = 34583786496. Its totient is φ = 6975215520.

The previous prime is 16779819863. The next prime is 16779819871. The reversal of 16779819868 is 86891897761.

It is a junction number, because it is equal to n+sod(n) for n = 16779819797 and 16779819806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16779819863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22583505 + ... + 22584247.

It is an arithmetic number, because the mean of its divisors is an integer number (480330368).

Almost surely, 216779819868 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 16779819868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291893248).

16779819868 is an abundant number, since it is smaller than the sum of its proper divisors (17803966628).

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

16779819868 is a wasteful number, since it uses less digits than its factorization.

16779819868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 930 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 70.

The spelling of 16779819868 in words is "sixteen billion, seven hundred seventy-nine million, eight hundred nineteen thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 47 94 131 188 262 329 524 658 743 917 1316 1486 1834 2972 3668 5201 6157 10402 12314 17161 20804 24628 34322 34921 43099 68644 69842 86198 97333 120127 139684 172396 194666 240254 244447 389332 480508 488894 681331 806567 977788 1362662 1613134 2725324 3226268 4574651 5645969 9149302 11291938 12750623 18298604 22583876 25501246 32022557 51002492 64045114 89254361 128090228 178508722 357017444 599279281 1198558562 2397117124 4194954967 8389909934 16779819868