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2645666640 = 243253674537
BaseRepresentation
bin1001110110110001…
…1010101101010000
320211101021210100100
42131230122231100
520404242313030
61114305452400
7122363536551
oct23554325520
96741253310
102645666640
111138456561
1261a041100
13332171b26
141b152c328
15107401360
hex9db1ab50

2645666640 has 60 divisors (see below), whose sum is σ = 8885032884. Its totient is φ = 705510912.

The previous prime is 2645666603. The next prime is 2645666641. The reversal of 2645666640 is 466665462.

2645666640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2049916176 + 595750464 = 45276^2 + 24408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645666641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1836549 + ... + 1837988.

Almost surely, 22645666640 is an apocalyptic number.

2645666640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2645666640 is an abundant number, since it is smaller than the sum of its proper divisors (6239366244).

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

2645666640 is a wasteful number, since it uses less digits than its factorization.

2645666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674556 (or 3674547 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 2645666640 is about 51436.0441713785. The cubic root of 2645666640 is about 1383.0727999535.

It can be divided in two parts, 26456 and 66640, that added together give a triangular number (93096 = T431).

The spelling of 2645666640 in words is "two billion, six hundred forty-five million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3674537 7349074 11023611 14698148 18372685 22047222 29396296 33070833 36745370 44094444 55118055 58792592 66141666 73490740 88188888 110236110 132283332 146981480 165354165 176377776 220472220 264566664 293962960 330708330 440944440 529133328 661416660 881888880 1322833320 2645666640