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6968424704 = 281011811489
BaseRepresentation
bin1100111110101100…
…11011100100000000
3122222122022122121212
412133112123210000
5103232404042304
63111245305252
7334453430003
oct63726334400
918878278555
106968424704
112a5654868a
121425865228
138708cbc37
144a169b53a
152abb7d66e
hex19f59b900

6968424704 has 72 divisors (see below), whose sum is σ = 14134443960. Its totient is φ = 3428352000.

The previous prime is 6968424689. The next prime is 6968424719. The reversal of 6968424704 is 4074248696.

It is an interprime number because it is at equal distance from previous prime (6968424689) and next prime (6968424719).

It can be written as a sum of positive squares in 4 ways, for example, as 257538304 + 6710886400 = 16048^2 + 81920^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4679192 + ... + 4680680.

Almost surely, 26968424704 is an apocalyptic number.

6968424704 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 6968424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067221980).

6968424704 is an abundant number, since it is smaller than the sum of its proper divisors (7166019256).

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

6968424704 is a wasteful number, since it uses less digits than its factorization.

6968424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The square root of 6968424704 is about 83477.0908932505. The cubic root of 6968424704 is about 1910.0505915713.

The spelling of 6968424704 in words is "six billion, nine hundred sixty-eight million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 181 202 256 362 404 724 808 1448 1489 1616 2896 2978 3232 5792 5956 6464 11584 11912 12928 18281 23168 23824 25856 36562 46336 47648 73124 95296 146248 150389 190592 269509 292496 300778 381184 539018 584992 601556 1078036 1169984 1203112 2156072 2339968 2406224 4312144 4679936 4812448 8624288 9624896 17248576 19249792 27220409 34497152 38499584 54440818 68994304 108881636 217763272 435526544 871053088 1742106176 3484212352 6968424704