Search a number
-
+
795497018940 = 2232513431788761
BaseRepresentation
bin10111001001101110101…
…00010011011000111100
32211001022112222121020100
423210313110103120330
5101013134214101230
61405240221521100
7111321105044241
oct13446724233074
92731275877210
10795497018940
11287406368448
1210a20a413190
135a02709b040
142a7062c15c8
1515a5cd15660
hexb93751363c

795497018940 has 144 divisors (see below), whose sum is σ = 2604656186496. Its totient is φ = 195360076800.

The previous prime is 795497018803. The next prime is 795497018941. The reversal of 795497018940 is 49810794597.

795497018940 is a `hidden beast` number, since 7 + 9 + 549 + 7 + 0 + 1 + 89 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795497018941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614160 + ... + 1402920.

It is an arithmetic number, because the mean of its divisors is an integer number (18087890184).

Almost surely, 2795497018940 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 795497018940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302328093248).

795497018940 is an abundant number, since it is smaller than the sum of its proper divisors (1809159167556).

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

795497018940 is a wasteful number, since it uses less digits than its factorization.

795497018940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789220 (or 789215 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 795497018940 in words is "seven hundred ninety-five billion, four hundred ninety-seven million, eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 431 468 585 780 862 1170 1293 1724 2155 2340 2586 3879 4310 5172 5603 6465 7758 8620 11206 12930 15516 16809 19395 22412 25860 28015 33618 38790 50427 56030 67236 77580 84045 100854 112060 168090 201708 252135 336180 504270 788761 1008540 1577522 2366283 3155044 3943805 4732566 7098849 7887610 9465132 10253893 11831415 14197698 15775220 20507786 23662830 28395396 30761679 35494245 41015572 47325660 51269465 61523358 70988490 92285037 102538930 123046716 141976980 153808395 184570074 205077860 307616790 339955991 369140148 461425185 615233580 679911982 922850370 1019867973 1359823964 1699779955 1845700740 2039735946 3059603919 3399559910 4079471892 4419427883 5099339865 6119207838 6799119820 8838855766 10198679730 12238415676 13258283649 15298019595 17677711532 20397359460 22097139415 26516567298 30596039190 39774850947 44194278830 53033134596 61192078380 66291418245 79549701894 88388557660 132582836490 159099403788 198874254735 265165672980 397748509470 795497018940