Search a number
-
+
642757628862 = 233174317599257
BaseRepresentation
bin10010101101001110101…
…01110001001110111110
32021110001212212122122000
421112213111301032332
541012331423110422
61211140114403130
764303063462056
oct11264725611676
92243055778560
10642757628862
11228656a19a58
12a46a22904a6
13487c512310b
1423176ba6566
1511abd9becac
hex95a75713be

642757628862 has 128 divisors (see below), whose sum is σ = 1548589363200. Its totient is φ = 196826692608.

The previous prime is 642757628837. The next prime is 642757628869. The reversal of 642757628862 is 268826757246.

642757628862 is a `hidden beast` number, since 6 + 427 + 5 + 76 + 2 + 88 + 62 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642757628862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642757628869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69430138 + ... + 69439394.

It is an arithmetic number, because the mean of its divisors is an integer number (12098354400).

Almost surely, 2642757628862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642757628862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774294681600).

642757628862 is an abundant number, since it is smaller than the sum of its proper divisors (905831734338).

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

642757628862 is a wasteful number, since it uses less digits than its factorization.

642757628862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11087 (or 11081 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 642757628862 in words is "six hundred forty-two billion, seven hundred fifty-seven million, six hundred twenty-eight thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1462 1759 2193 2322 3518 4386 5277 6579 9257 10554 13158 15831 18514 19737 27771 29903 31662 39474 47493 55542 59806 75637 83313 89709 94986 151274 157369 166626 179418 226911 249939 269127 314738 398051 453822 472107 499878 538254 680733 796102 807381 944214 1194153 1285829 1361466 1416321 1614762 2042199 2388306 2571658 2832642 3582459 3857487 4084398 4248963 6766867 7164918 7714974 8497926 10747377 11572461 13533734 16283063 20300601 21494754 23144922 32566126 34717383 40601202 48849189 60901803 69434766 97698378 121803606 146547567 182705409 276812071 293095134 365410818 439642701 553624142 700171709 830436213 879285402 1400343418 1660872426 2100515127 2491308639 4201030254 4982617278 6301545381 7473925917 11902919053 12603090762 14947851834 18904636143 23805838106 35708757159 37809272286 71417514318 107126271477 214252542954 321378814431 642757628862