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2145177645 = 351311000911
BaseRepresentation
bin111111111011100…
…1101000000101101
312112111112022111220
41333313031000231
513343131141040
6552510333553
7104105465142
oct17767150055
95474468456
102145177645
11a00995796
124ba4ba2b9
132825782b0
14164c8a3c9
15c84dd2d0
hex7fdcd02d

2145177645 has 16 divisors (see below), whose sum is σ = 3696306432. Its totient is φ = 1056087360.

The previous prime is 2145177641. The next prime is 2145177677. The reversal of 2145177645 is 5467715412.

It is not a de Polignac number, because 2145177645 - 22 = 2145177641 is a prime.

It is a super-3 number, since 3×21451776453 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2145177597 and 2145177606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145177641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5500261 + ... + 5500650.

It is an arithmetic number, because the mean of its divisors is an integer number (231019152).

Almost surely, 22145177645 is an apocalyptic number.

It is an amenable number.

2145177645 is a deficient number, since it is larger than the sum of its proper divisors (1551128787).

2145177645 is a wasteful number, since it uses less digits than its factorization.

2145177645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000932.

The product of its digits is 235200, while the sum is 42.

The square root of 2145177645 is about 46316.0624945601. The cubic root of 2145177645 is about 1289.6971917105.

The spelling of 2145177645 in words is "two billion, one hundred forty-five million, one hundred seventy-seven thousand, six hundred forty-five".

Divisors: 1 3 5 13 15 39 65 195 11000911 33002733 55004555 143011843 165013665 429035529 715059215 2145177645