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679022641952 = 253123721272
BaseRepresentation
bin10011110000110001110…
…01110100001100100000
32101220200020220012021222
421320120321310030200
542111114244020302
61235534431434212
7100025546140154
oct11703071641440
92356606805258
10679022641952
11241a76641056
12ab723385968
134c054451c45
1424c172c7064
15129e262dda2
hex9e18e74320

679022641952 has 162 divisors, whose sum is σ = 1430949479841. Its totient is φ = 317162200320.

The previous prime is 679022641937. The next prime is 679022641987. The reversal of 679022641952 is 259146220976.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 547830904336 + 131191737616 = 740156^2 + 362204^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=582676.

It is a super-2 number, since 2×6790226419522 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 679022641894 and 679022641903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5346634913 + ... + 5346635039.

Almost surely, 2679022641952 is an apocalyptic number.

679022641952 is a gapful number since it is divisible by the number (62) 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 679022641952

679022641952 is an abundant number, since it is smaller than the sum of its proper divisors (751926837889).

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

679022641952 is an equidigital number, since it uses as much as digits as its factorization.

679022641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 679022641952 in words is "six hundred seventy-nine billion, twenty-two million, six hundred forty-one thousand, nine hundred fifty-two".