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2159416842 = 2311195332491
BaseRepresentation
bin1000000010110110…
…0001011000001010
312120111022202000120
42000231201120022
513410302314332
6554135444110
7104340511632
oct20055413012
95514282016
102159416842
11a08a30920
12503226636
132854c255b
14166b156c2
15c98a232c
hex80b6160a

2159416842 has 64 divisors (see below), whose sum is σ = 5053155840. Its totient is φ = 608212800.

The previous prime is 2159416841. The next prime is 2159416843. The reversal of 2159416842 is 2486149512.

It is an interprime number because it is at equal distance from previous prime (2159416841) and next prime (2159416843).

It is a junction number, because it is equal to n+sod(n) for n = 2159416794 and 2159416803.

It is not an unprimeable number, because it can be changed into a prime (2159416841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50217 + ... + 82707.

It is an arithmetic number, because the mean of its divisors is an integer number (78955560).

Almost surely, 22159416842 is an apocalyptic number.

2159416842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2159416842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526577920).

2159416842 is an abundant number, since it is smaller than the sum of its proper divisors (2893738998).

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

2159416842 is a wasteful number, since it uses less digits than its factorization.

2159416842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32579.

The product of its digits is 138240, while the sum is 42.

The square root of 2159416842 is about 46469.5259498093. The cubic root of 2159416842 is about 1292.5444724536.

The spelling of 2159416842 in words is "two billion, one hundred fifty-nine million, four hundred sixteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 159 209 318 418 583 627 1007 1166 1254 1749 2014 3021 3498 6042 11077 22154 32491 33231 64982 66462 97473 194946 357401 617329 714802 1072203 1234658 1722023 1851987 2144406 3444046 3703974 5166069 6790619 10332138 13581238 18942253 20371857 32718437 37884506 40743714 56826759 65436874 98155311 113653518 196310622 359902807 719805614 1079708421 2159416842