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4193648064 = 26327280639
BaseRepresentation
bin1111100111110101…
…1111110111000000
3101211021002101122200
43321331133313000
532042033214224
61532044233200
7205631264124
oct37175376700
911737071580
104193648064
111862228951
1299053b800
1351aa93778
142bad61584
151982775c9
hexf9f5fdc0

4193648064 has 42 divisors (see below), whose sum is σ = 12020336640. Its totient is φ = 1397882496.

The previous prime is 4193648051. The next prime is 4193648071. The reversal of 4193648064 is 4608463914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3639744 + ... + 3640895.

Almost surely, 24193648064 is an apocalyptic number.

It is an amenable number.

4193648064 is an abundant number, since it is smaller than the sum of its proper divisors (7826688576).

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

4193648064 is a wasteful number, since it uses less digits than its factorization.

4193648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280657 (or 7280644 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4193648064 is about 64758.3821910338. The cubic root of 4193648064 is about 1612.6148709225.

It can be divided in two parts, 41936 and 48064, that added together give a square (90000 = 3002).

The spelling of 4193648064 in words is "four billion, one hundred ninety-three million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7280639 14561278 21841917 29122556 43683834 58245112 65525751 87367668 116490224 131051502 174735336 232980448 262103004 349470672 465960896 524206008 698941344 1048412016 1397882688 2096824032 4193648064