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6942708864 = 273272139461
BaseRepresentation
bin1100111011101000…
…10101010010000000
3122220211221011010100
412131310111102000
5103204313140424
63104530202400
7334022023500
oct63564252200
918824834110
106942708864
112a42a83a23
121419123400
13868496c70
1449c0c5a00
152a979ddc9
hex19dd15480

6942708864 has 288 divisors, whose sum is σ = 25030490940. Its totient is φ = 1830850560.

The previous prime is 6942708853. The next prime is 6942708911. The reversal of 6942708864 is 4688072496.

It can be written as a sum of positive squares in 2 ways, for example, as 6915585600 + 27123264 = 83160^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 6942708864.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 729094 + ... + 738554.

Almost surely, 26942708864 is an apocalyptic number.

6942708864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6942708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12515245470).

6942708864 is an abundant number, since it is smaller than the sum of its proper divisors (18087782076).

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

6942708864 is a wasteful number, since it uses less digits than its factorization.

6942708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 6942708864 is about 83322.9191999416. The cubic root of 6942708864 is about 1907.6981181872.

It can be divided in two parts, 6942 and 708864, that added together give a triangular number (715806 = T1196).

The spelling of 6942708864 in words is "six billion, nine hundred forty-two million, seven hundred eight thousand, eight hundred sixty-four".