Search a number
-
+
818074378464 = 25376781179527
BaseRepresentation
bin10111110011110010000…
…10000110000011100000
32220012121000021022002020
423321321002012003200
5101400404020102324
61423452421021440
7113050434324660
oct13717102060340
92805530238066
10818074378464
11295a41728862
1211266b554880
135c1b471c685
142b8489d41a0
151642ee8d679
hexbe790860e0

818074378464 has 96 divisors (see below), whose sum is σ = 2454598734336. Its totient is φ = 233699765760.

The previous prime is 818074378447. The next prime is 818074378477. The reversal of 818074378464 is 464873470818.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 818074378398 and 818074378407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4467069 + ... + 4646595.

It is an arithmetic number, because the mean of its divisors is an integer number (25568736816).

Almost surely, 2818074378464 is an apocalyptic number.

818074378464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

818074378464 is an abundant number, since it is smaller than the sum of its proper divisors (1636524355872).

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

818074378464 is a wasteful number, since it uses less digits than its factorization.

818074378464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186328 (or 186320 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 818074378464 in words is "eight hundred eighteen billion, seventy-four million, three hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6781 13562 20343 27124 40686 47467 54248 81372 94934 108496 142401 162744 179527 189868 216992 284802 325488 359054 379736 538581 569604 650976 718108 759472 1077162 1139208 1256689 1436216 1518944 2154324 2278416 2513378 2872432 3770067 4308648 4556832 5026756 5744864 7540134 8617296 10053512 15080268 17234592 20107024 30160536 40214048 60321072 120642144 1217372587 2434745174 3652117761 4869490348 7304235522 8521608109 9738980696 14608471044 17043216218 19477961392 25564824327 29216942088 34086432436 38955922784 51129648654 58433884176 68172864872 102259297308 116867768352 136345729744 204518594616 272691459488 409037189232 818074378464