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2643696405 = 3257292511153
BaseRepresentation
bin1001110110010011…
…1001101100010101
320211020120200200200
42131210321230111
520403241241110
61114155331113
7122341022460
oct23544715425
96736520620
102643696405
111137330269
12619450a99
133319320cc
141b11782d7
151071626c0
hex9d939b15

2643696405 has 96 divisors (see below), whose sum is σ = 5443925760. Its totient is φ = 1161216000.

The previous prime is 2643696403. The next prime is 2643696413. The reversal of 2643696405 is 5046963462.

It is not a de Polignac number, because 2643696405 - 21 = 2643696403 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643696403) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2292309 + ... + 2293461.

It is an arithmetic number, because the mean of its divisors is an integer number (56707560).

Almost surely, 22643696405 is an apocalyptic number.

It is an amenable number.

2643696405 is an abundant number, since it is smaller than the sum of its proper divisors (2800229355).

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

2643696405 is a wasteful number, since it uses less digits than its factorization.

2643696405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2643696405 is about 51416.8883247518. Note that the first 3 decimals coincide. The cubic root of 2643696405 is about 1382.7293886925.

The spelling of 2643696405 in words is "two billion, six hundred forty-three million, six hundred ninety-six thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 251 261 315 435 609 753 1015 1153 1255 1305 1757 1827 2259 3045 3459 3765 5271 5765 7279 8071 8785 9135 10377 11295 15813 17295 21837 24213 26355 33437 36395 40355 50953 51885 65511 72639 79065 100311 109185 121065 152859 167185 234059 254765 289403 300933 327555 363195 458577 501555 702177 764295 868209 1170295 1447015 1504665 2025821 2106531 2292885 2604627 3510885 4341045 6077463 8392687 10129105 10532655 13023135 18232389 25178061 30387315 41963435 58748809 75534183 91161945 125890305 176246427 293744045 377670915 528739281 881232135 2643696405