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620945821305 = 32513798796029
BaseRepresentation
bin10010000100100110100…
…00010100111001111001
32012100202210010000122200
421002103100110321321
540133144112240210
61153131503540413
762601421252305
oct11022320247171
92170683100580
10620945821305
1121a383801117
12a04155ba709
134672a282c04
14220a8012d05
1511243b670c0
hex9093414e79

620945821305 has 12 divisors (see below), whose sum is σ = 1076306090340. Its totient is φ = 331171104672.

The previous prime is 620945821297. The next prime is 620945821313. The reversal of 620945821305 is 503128549026.

620945821305 is a `hidden beast` number, since 62 + 0 + 9 + 4 + 582 + 1 + 3 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (620945821297) and next prime (620945821313).

It can be written as a sum of positive squares in 2 ways, for example, as 387102974976 + 233842846329 = 622176^2 + 483573^2 .

It is not a de Polignac number, because 620945821305 - 23 = 620945821297 is a prime.

It is a super-4 number, since 4×6209458213054 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 13798796029 = 620945821305 / (6 + 2 + 0 + 9 + 4 + 5 + 8 + 2 + 1 + 3 + 0 + 5).

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 11 ways as a sum of consecutive naturals, for example, 6899397970 + ... + 6899398059.

It is an arithmetic number, because the mean of its divisors is an integer number (89692174195).

Almost surely, 2620945821305 is an apocalyptic number.

It is an amenable number.

620945821305 is a deficient number, since it is larger than the sum of its proper divisors (455360269035).

620945821305 is a wasteful number, since it uses less digits than its factorization.

620945821305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13798796040 (or 13798796037 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 620945821305 in words is "six hundred twenty billion, nine hundred forty-five million, eight hundred twenty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 13798796029 41396388087 68993980145 124189164261 206981940435 620945821305