Search a number
-
+
6850976080 = 245132506729
BaseRepresentation
bin1100110000101100…
…11001100101010000
3122200110022122101211
412120112121211100
5103012322213310
63051452105504
7331526223124
oct63026314520
918613278354
106850976080
1129a6219803
1213b2465294
13852489400
1448dc47584
152a16cdc8a
hex198599950

6850976080 has 60 divisors (see below), whose sum is σ = 17248075740. Its totient is φ = 2529586176.

The previous prime is 6850976039. The next prime is 6850976087. The reversal of 6850976080 is 806790586.

It can be written as a sum of positive squares in 6 ways, for example, as 957036096 + 5893939984 = 30936^2 + 76772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850976087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239845 + ... + 266884.

It is an arithmetic number, because the mean of its divisors is an integer number (287467929).

Almost surely, 26850976080 is an apocalyptic number.

It is an amenable number.

6850976080 is an abundant number, since it is smaller than the sum of its proper divisors (10397099660).

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

6850976080 is a wasteful number, since it uses less digits than its factorization.

6850976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506768 (or 506749 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 6850976080 is about 82770.6232911170. The cubic root of 6850976080 is about 1899.2588133951.

The spelling of 6850976080 in words is "six billion, eight hundred fifty million, nine hundred seventy-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 506729 1013458 2026916 2533645 4053832 5067290 6587477 8107664 10134580 13174954 20269160 26349908 32937385 40538320 52699816 65874770 85637201 105399632 131749540 171274402 263499080 342548804 428186005 526998160 685097608 856372010 1370195216 1712744020 3425488040 6850976080