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2115042642 = 2323116722697
BaseRepresentation
bin111111000010000…
…1111110101010010
312110101211022001200
41332010033311102
513312422331032
6545512412030
7103261365036
oct17604176522
95411738050
102115042642
11995982929
124b03a7016
13279256a2b
14160c841c6
15c5a3947c
hex7e10fd52

2115042642 has 48 divisors (see below), whose sum is σ = 4758953472. Its totient is φ = 678156480.

The previous prime is 2115042619. The next prime is 2115042697. The reversal of 2115042642 is 2462405112.

2115042642 is a `hidden beast` number, since 2 + 1 + 15 + 0 + 4 + 2 + 642 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81838 + ... + 104534.

It is an arithmetic number, because the mean of its divisors is an integer number (99144864).

Almost surely, 22115042642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115042642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379476736).

2115042642 is an abundant number, since it is smaller than the sum of its proper divisors (2643910830).

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

2115042642 is a wasteful number, since it uses less digits than its factorization.

2115042642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22903 (or 22900 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2115042642 is about 45989.5927574924. The cubic root of 2115042642 is about 1283.6295587544.

Adding to 2115042642 its reverse (2462405112), we get a palindrome (4577447754).

The spelling of 2115042642 in words is "two billion, one hundred fifteen million, forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 167 186 279 334 501 558 1002 1503 3006 5177 10354 15531 22697 31062 45394 46593 68091 93186 136182 204273 408546 703607 1407214 2110821 3790399 4221642 6332463 7580798 11371197 12664926 22742394 34113591 68227182 117502369 235004738 352507107 705014214 1057521321 2115042642