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679985291808 = 25326413683401
BaseRepresentation
bin10011110010100100100…
…10000010001000100000
32102000011100021212122100
421321102102002020200
542120102213314213
61240214140410400
7100061445420414
oct11712222021040
92360140255570
10679985291808
1124241aa74149
12ab951846a00
134c178a12744
1424ca90b0d44
1512a4bdd3773
hex9e52482220

679985291808 has 72 divisors (see below), whose sum is σ = 1936725404796. Its totient is φ = 226308096000.

The previous prime is 679985291767. The next prime is 679985291809. The reversal of 679985291808 is 808192589976.

679985291808 is a `hidden beast` number, since 6 + 7 + 9 + 98 + 529 + 1 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 569886088464 + 110099203344 = 754908^2 + 331812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (679985291809) 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 11 ways as a sum of consecutive naturals, for example, 1657093 + ... + 2026308.

Almost surely, 2679985291808 is an apocalyptic number.

It is an amenable number.

679985291808 is an abundant number, since it is smaller than the sum of its proper divisors (1256740112988).

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

679985291808 is a wasteful number, since it uses less digits than its factorization.

679985291808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684058 (or 3684047 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 679985291808 in words is "six hundred seventy-nine billion, nine hundred eighty-five million, two hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 20512 23076 30768 46152 61536 92304 184608 3683401 7366802 11050203 14733604 22100406 29467208 33150609 44200812 58934416 66301218 88401624 117868832 132602436 176803248 265204872 353606496 530409744 1060819488 2361060041 4722120082 7083180123 9444240164 14166360246 18888480328 21249540369 28332720492 37776960656 42499080738 56665440984 75553921312 84998161476 113330881968 169996322952 226661763936 339992645904 679985291808