Search a number
-
+
3862380121557 = 32931311231327
BaseRepresentation
bin111000001101000111110…
…010111000110111010101
3111200020110220121112011020
4320031013302320313111
51001240123302342212
612114204122231353
7546022244225526
oct70150762706725
914606426545136
103862380121557
11125a031983041
1252467b355559
132202b43823b9
14d4d23c7884d
156a7091d4d8c
hex38347cb8dd5

3862380121557 has 64 divisors (see below), whose sum is σ = 5514049781760. Its totient is φ = 2401978138560.

The previous prime is 3862380121553. The next prime is 3862380121583. The reversal of 3862380121557 is 7551210832683.

It is a happy number.

It is not a de Polignac number, because 3862380121557 - 22 = 3862380121553 is a prime.

It is a super-2 number, since 2×38623801215572 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3862380121553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2910609828 + ... + 2910611154.

It is an arithmetic number, because the mean of its divisors is an integer number (86157027840).

Almost surely, 23862380121557 is an apocalyptic number.

It is an amenable number.

3862380121557 is a deficient number, since it is larger than the sum of its proper divisors (1651669660203).

3862380121557 is a wasteful number, since it uses less digits than its factorization.

3862380121557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 3862380121557 in words is "three trillion, eight hundred sixty-two billion, three hundred eighty million, one hundred twenty-one thousand, five hundred fifty-seven".

Divisors: 1 3 29 31 87 93 899 961 1123 1327 2697 2883 3369 3981 27869 29791 32567 34813 38483 41137 83607 89373 97701 104439 115449 123411 863939 1009577 1079203 1192973 1275247 1490221 2591817 3028731 3237609 3578919 3825741 4470663 31296887 33455293 36982163 39532657 43216409 46196851 93890661 100365879 110946489 118597971 129649227 138590553 970203497 1146447053 1339708679 1432102381 2910610491 3439341159 4019126037 4296307143 41530969049 44395173811 124592907147 133185521433 1287460040519 3862380121557