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8455505645 = 5172412592
BaseRepresentation
bin1111101111111110…
…01100011011101101
3210211021112012011202
413313333030123231
5114304102140040
63515010455245
7416351416646
oct76777143355
923737465152
108455505645
113649a045a4
12177b894525
13a49a19aa2
145a2d9a6cd
153474c5015
hex1f7fcc6ed

8455505645 has 54 divisors (see below), whose sum is σ = 11238305406. Its totient is φ = 6105943040.

The previous prime is 8455505629. The next prime is 8455505651. The reversal of 8455505645 is 5465055548.

It can be written as a sum of positive squares in 9 ways, for example, as 3779544484 + 4675961161 = 61478^2 + 68381^2 .

It is not a de Polignac number, because 8455505645 - 24 = 8455505629 is a prime.

It is a super-3 number, since 3×84555056453 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8455505645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 143313626 + ... + 143313684.

Almost surely, 28455505645 is an apocalyptic number.

8455505645 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8455505645 is a deficient number, since it is larger than the sum of its proper divisors (2782799761).

8455505645 is an equidigital number, since it uses as much as digits as its factorization.

8455505645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 47.

The square root of 8455505645 is about 91953.8234387239. The cubic root of 8455505645 is about 2037.2603269589.

The spelling of 8455505645 in words is "eight billion, four hundred fifty-five million, five hundred five thousand, six hundred forty-five".

Divisors: 1 5 17 41 59 85 205 289 295 697 1003 1445 1681 2419 3481 3485 5015 8405 11849 12095 17051 17405 28577 41123 59177 59245 85255 99179 142721 142885 205615 295885 485809 495895 699091 713605 1006009 1686043 2426257 2429045 3495455 5030045 5851561 8430215 12131285 28662731 29257805 41246369 99476537 143313655 206231845 497382685 1691101129 8455505645