Search a number
-
+
5681773968 = 2431323339079
BaseRepresentation
bin1010100101010100…
…01111110110010000
3112122222021000121220
411102222033312100
543114013231333
62335444045040
7260541165453
oct52252176620
915588230556
105681773968
112456238972
121126993780
136c7189140
143bc85349a
15233c288b3
hex152a8fd90

5681773968 has 80 divisors (see below), whose sum is σ = 15875233920. Its totient is φ = 1740690432.

The previous prime is 5681773963. The next prime is 5681773987. The reversal of 5681773968 is 8693771865.

It is not an unprimeable number, because it can be changed into a prime (5681773963) 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, 125853 + ... + 164931.

It is an arithmetic number, because the mean of its divisors is an integer number (198440424).

Almost surely, 25681773968 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 5681773968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937616960).

5681773968 is an abundant number, since it is smaller than the sum of its proper divisors (10193459952).

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

5681773968 is a wasteful number, since it uses less digits than its factorization.

5681773968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39336 (or 39330 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 60.

The square root of 5681773968 is about 75377.5428625794. The cubic root of 5681773968 is about 1784.4100101943.

The spelling of 5681773968 in words is "five billion, six hundred eighty-one million, seven hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 233 312 466 624 699 932 1398 1864 2796 3029 3728 5592 6058 9087 11184 12116 18174 24232 36348 39079 48464 72696 78158 117237 145392 156316 234474 312632 468948 508027 625264 937896 1016054 1524081 1875792 2032108 3048162 4064216 6096324 8128432 9105407 12192648 18210814 24385296 27316221 36421628 54632442 72843256 109264884 118370291 145686512 218529768 236740582 355110873 437059536 473481164 710221746 946962328 1420443492 1893924656 2840886984 5681773968