Search a number
-
+
57952357386 = 23711672517459
BaseRepresentation
bin110101111110001110…
…101100110000001010
312112120210120210010220
4311332032230300022
51422141300414021
642342320050510
74121053624110
oct657616546012
9175523523126
1057952357386
112263965a940
12b294163a36
135607471741
142b3a955ab0
151792acdcc6
hexd7e3acc0a

57952357386 has 128 divisors (see below), whose sum is σ = 147265413120. Its totient is φ = 14766840000.

The previous prime is 57952357367. The next prime is 57952357403. The reversal of 57952357386 is 68375325975.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7765725 + ... + 7773183.

It is an arithmetic number, because the mean of its divisors is an integer number (1150511040).

Almost surely, 257952357386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57952357386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73632706560).

57952357386 is an abundant number, since it is smaller than the sum of its proper divisors (89313055734).

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

57952357386 is a wasteful number, since it uses less digits than its factorization.

57952357386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800.

The product of its digits is 47628000, while the sum is 60.

The spelling of 57952357386 in words is "fifty-seven billion, nine hundred fifty-two million, three hundred fifty-seven thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 251 402 462 469 502 737 753 938 1407 1474 1506 1757 2211 2761 2814 3514 4422 5159 5271 5522 7459 8283 10318 10542 14918 15477 16566 16817 19327 22377 30954 33634 38654 44754 50451 52213 57981 82049 100902 104426 115962 117719 156639 164098 184987 235438 246147 313278 353157 369974 492294 499753 554961 574343 706314 999506 1109922 1148686 1294909 1499259 1723029 1872209 2589818 2998518 3446058 3498271 3744418 3884727 5497283 5616627 6996542 7769454 10494813 10994566 11233254 13105463 16491849 20594299 20989626 26210926 32983698 38480981 39316389 41188598 61782897 76961962 78632778 115442943 123565794 125438003 144160093 230885886 250876006 288320186 376314009 432480279 752628018 864960558 878066021 1379818033 1756132042 2634198063 2759636066 4139454099 5268396126 8278908198 9658726231 19317452462 28976178693 57952357386