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6996260768 = 25724461901
BaseRepresentation
bin1101000010000001…
…00111011110100000
3200001120200212112012
412201000213132200
5103312020321033
63114122052052
7335242143500
oct64100473640
920046625465
106996260768
112a702302a2
12143304a028
138765c6c93
144a5265a00
152ae32b248
hex1a10277a0

6996260768 has 36 divisors (see below), whose sum is σ = 16022690082. Its totient is φ = 2998396800.

The previous prime is 6996260749. The next prime is 6996260771. The reversal of 6996260768 is 8670626996.

It can be written as a sum of positive squares in only one way, i.e., 3825669904 + 3170590864 = 61852^2 + 56308^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2229383 + ... + 2232518.

Almost surely, 26996260768 is an apocalyptic number.

It is an amenable number.

6996260768 is an abundant number, since it is smaller than the sum of its proper divisors (9026429314).

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

6996260768 is a wasteful number, since it uses less digits than its factorization.

6996260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461925 (or 4461910 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The square root of 6996260768 is about 83643.6534830946. The cubic root of 6996260768 is about 1912.5905081293.

The spelling of 6996260768 in words is "six billion, nine hundred ninety-six million, two hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 4461901 8923802 17847604 31233307 35695208 62466614 71390416 124933228 142780832 218633149 249866456 437266298 499732912 874532596 999465824 1749065192 3498130384 6996260768