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5145656064 = 28329463499
BaseRepresentation
bin1001100101011010…
…00111101100000000
3111021121110102010020
410302231013230000
541014241443224
62210333133440
7241341232503
oct46255075400
914247412106
105145656064
11220065261a
12bb732a280
13640099503
1436b57913a
15201b28c79
hex132b47b00

5145656064 has 144 divisors (see below), whose sum is σ = 14226240000. Its totient is φ = 1649184768.

The previous prime is 5145656051. The next prime is 5145656069. The reversal of 5145656064 is 4606565415.

It is not an unprimeable number, because it can be changed into a prime (5145656069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10311687 + ... + 10312185.

Almost surely, 25145656064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113120000).

5145656064 is an abundant number, since it is smaller than the sum of its proper divisors (9080583936).

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

5145656064 is a wasteful number, since it uses less digits than its factorization.

5145656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 5145656064 is about 71733.2284509766. The cubic root of 5145656064 is about 1726.4218272781.

The spelling of 5145656064 in words is "five billion, one hundred forty-five million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 463 464 499 696 768 926 928 998 1389 1392 1497 1852 1856 1996 2778 2784 2994 3704 3712 3992 5556 5568 5988 7408 7424 7984 11112 11136 11976 13427 14471 14816 15968 22224 22272 23952 26854 28942 29632 31936 40281 43413 44448 47904 53708 57884 59264 63872 80562 86826 88896 95808 107416 115768 118528 127744 161124 173652 177792 191616 214832 231037 231536 322248 347304 355584 383232 429664 462074 463072 644496 693111 694608 859328 924148 926144 1288992 1386222 1389216 1718656 1848296 1852288 2577984 2772444 2778432 3437312 3696592 3704576 5155968 5544888 5556864 6700073 7393184 10311936 11089776 11113728 13400146 14786368 20100219 22179552 26800292 29572736 40200438 44359104 53600584 59145472 80400876 88718208 107201168 160801752 177436416 214402336 321603504 428804672 643207008 857609344 1286414016 1715218688 2572828032 5145656064