Search a number
-
+
7677621006020 = 2257217460841597
BaseRepresentation
bin110111110111001010111…
…0111110110111011000100
31000011222021121102200122022
41233232111313312323010
52001242231434143040
624155014515222312
71421455414532300
oct157562567667304
930158247380568
107677621006020
1124a00739a2599
12a3bb838a7998
13438cc55782a4
141c7855302d00
15d4aa4c636b5
hex6fb95df6ec4

7677621006020 has 72 divisors (see below), whose sum is σ = 19858586141016. Its totient is φ = 2477484420096.

The previous prime is 7677621006019. The next prime is 7677621006059. The reversal of 7677621006020 is 206001267767.

It can be written as a sum of positive squares in 4 ways, for example, as 4344856762624 + 3332764243396 = 2084432^2 + 1825586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230404139 + ... + 230437458.

It is an arithmetic number, because the mean of its divisors is an integer number (275813696403).

Almost surely, 27677621006020 is an apocalyptic number.

7677621006020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7677621006020 is an abundant number, since it is smaller than the sum of its proper divisors (12180965134996).

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

7677621006020 is a wasteful number, since it uses less digits than its factorization.

7677621006020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460841637 (or 460841628 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 7677621006020 in words is "seven trillion, six hundred seventy-seven billion, six hundred twenty-one million, six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 460841597 921683194 1843366388 2304207985 3225891179 4608415970 6451782358 7834307149 9216831940 12903564716 15668614298 16129455895 22581238253 31337228596 32258911790 39171535745 45162476506 54840150043 64517823580 78343071490 90324953012 109680300086 112906191265 156686142980 219360600172 225812382530 274200750215 383881050301 451624765060 548401500430 767762100602 1096803000860 1535524201204 1919405251505 3838810503010 7677621006020