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628116906965 = 5457677406037
BaseRepresentation
bin10010010001111101010…
…11110110001111010101
32020001021112202220211212
421020332223312033111
540242340412010330
61200315233111205
763244215421502
oct11107653661725
92201245686755
10628116906965
11222423689999
12a18970b8505
1347300b5b372
14225885864a9
15115134c8295
hex923eaf63d5

628116906965 has 16 divisors (see below), whose sum is σ = 756507263472. Its totient is φ = 500652132864.

The previous prime is 628116906889. The next prime is 628116906983. The reversal of 628116906965 is 569609611826.

It can be written as a sum of positive squares in 8 ways, for example, as 256123039396 + 371993867569 = 506086^2 + 609913^2 .

It is a cyclic number.

It is not a de Polignac number, because 628116906965 - 220 = 628115858389 is a prime.

It is a super-2 number, since 2×6281169069652 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343927 + ... + 1749963.

It is an arithmetic number, because the mean of its divisors is an integer number (47281703967).

Almost surely, 2628116906965 is an apocalyptic number.

It is an amenable number.

628116906965 is a deficient number, since it is larger than the sum of its proper divisors (128390356507).

628116906965 is a wasteful number, since it uses less digits than its factorization.

628116906965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407176.

The product of its (nonzero) digits is 8398080, while the sum is 59.

The spelling of 628116906965 in words is "six hundred twenty-eight billion, one hundred sixteen million, nine hundred six thousand, nine hundred sixty-five".

Divisors: 1 5 457 677 2285 3385 309389 406037 1546945 2030185 185558909 274887049 927794545 1374435245 125623381393 628116906965