Search a number
-
+
5657709024 = 2532112576949
BaseRepresentation
bin1010100010011100…
…11100100111100000
3112121021222101201200
411101032130213200
543041333142044
62333224201200
7260126506332
oct52116344740
915537871650
105657709024
1124436a1590
12111a909200
136c21b1726
143b958b452
15231a73369
hex15139c9e0

5657709024 has 144 divisors (see below), whose sum is σ = 17622586800. Its totient is φ = 1707540480.

The previous prime is 5657709017. The next prime is 5657709061. The reversal of 5657709024 is 4209077565.

5657709024 is a `hidden beast` number, since 56 + 577 + 0 + 9 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 810702 + ... + 817650.

It is an arithmetic number, because the mean of its divisors is an integer number (122379075).

Almost surely, 25657709024 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 5657709024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8811293400).

5657709024 is an abundant number, since it is smaller than the sum of its proper divisors (11964877776).

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

5657709024 is a wasteful number, since it uses less digits than its factorization.

5657709024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5657709024 is about 75217.7440767802. The cubic root of 5657709024 is about 1781.8871774603.

The spelling of 5657709024 in words is "five billion, six hundred fifty-seven million, seven hundred nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 257 264 288 352 396 514 528 771 792 1028 1056 1542 1584 2056 2313 2827 3084 3168 4112 4626 5654 6168 6949 8224 8481 9252 11308 12336 13898 16962 18504 20847 22616 24672 25443 27796 33924 37008 41694 45232 50886 55592 62541 67848 74016 76439 83388 90464 101772 111184 125082 135696 152878 166776 203544 222368 229317 250164 271392 305756 333552 407088 458634 500328 611512 667104 687951 814176 917268 1000656 1223024 1375902 1785893 1834536 2001312 2446048 2751804 3571786 3669072 5357679 5503608 7143572 7338144 10715358 11007216 14287144 16073037 19644823 21430716 22014432 28574288 32146074 39289646 42861432 57148576 58934469 64292148 78579292 85722864 117868938 128584296 157158584 171445728 176803407 235737876 257168592 314317168 353606814 471475752 514337184 628634336 707213628 942951504 1414427256 1885903008 2828854512 5657709024