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6864122500 = 225416572
BaseRepresentation
bin1100110010010001…
…00011001010000100
3122201101001112220021
412121020203022010
5103024203410000
63053041544524
7332046035644
oct63110431204
918641045807
106864122500
112a02688914
1213b6945144
13855110161
144918aa524
152a292911a
hex199223284

6864122500 has 45 divisors (see below), whose sum is σ = 15019527369. Its totient is φ = 2743992000.

The previous prime is 6864122467. The next prime is 6864122501. The reversal of 6864122500 is 52214686.

The square root of 6864122500 is 82850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6202192516 + 661929984 = 78754^2 + 25728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6864122501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4141672 + ... + 4143328.

Almost surely, 26864122500 is an apocalyptic number.

6864122500 is the 82850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864122500

6864122500 is an abundant number, since it is smaller than the sum of its proper divisors (8155404869).

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

6864122500 is an frugal number, since it uses more digits than its factorization.

6864122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 6864122500 is about 1900.4728739906.

The spelling of 6864122500 in words is "six billion, eight hundred sixty-four million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1657 2500 3314 6628 8285 16570 33140 41425 82850 165700 207125 414250 828500 1035625 2071250 2745649 4142500 5491298 10982596 13728245 27456490 54912980 68641225 137282450 274564900 343206125 686412250 1372824500 1716030625 3432061250 6864122500