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2864092416 = 2836755661
BaseRepresentation
bin1010101010110110…
…1001010100000000
321101121021222011220
42222231221110000
521331201424131
61152111235040
7130655245443
oct25255512400
97347258156
102864092416
11123a784029
1267b218a80
133684aab53
141d254965a
1511b699e96
hexaab69500

2864092416 has 72 divisors (see below), whose sum is σ = 7736572704. Its totient is φ = 940431360.

The previous prime is 2864092409. The next prime is 2864092417. The reversal of 2864092416 is 6142904682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864092417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23626 + ... + 79286.

Almost surely, 22864092416 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 2864092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868286352).

2864092416 is an abundant number, since it is smaller than the sum of its proper divisors (4872480288).

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

2864092416 is an equidigital number, since it uses as much as digits as its factorization.

2864092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55747 (or 55733 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2864092416 is about 53517.2160710925. The cubic root of 2864092416 is about 1420.1329664552.

The spelling of 2864092416 in words is "two billion, eight hundred sixty-four million, ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 6432 8576 12864 17152 25728 51456 55661 111322 166983 222644 333966 445288 667932 890576 1335864 1781152 2671728 3562304 3729287 5343456 7124608 7458574 10686912 11187861 14249216 14917148 21373824 22375722 29834296 42747648 44751444 59668592 89502888 119337184 179005776 238674368 358011552 477348736 716023104 954697472 1432046208 2864092416