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8625885268 = 227112131511297
BaseRepresentation
bin10000000100010010…
…01001000001010100
3211021011010101002011
420002021021001110
5120131211312033
63543534354004
7423520546360
oct100211110124
924234111064
108625885268
1137270a6300
12180895b904
13a76102b30
145bb86c2a0
1535742cccd
hex202249054

8625885268 has 144 divisors (see below), whose sum is σ = 20572448512. Its totient is φ = 3079296000.

The previous prime is 8625885223. The next prime is 8625885299.

It is a happy number.

8625885268 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6649996 + ... + 6651292.

Almost surely, 28625885268 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 8625885268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286224256).

8625885268 is an abundant number, since it is smaller than the sum of its proper divisors (11946563244).

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

8625885268 is a wasteful number, since it uses less digits than its factorization.

8625885268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1481 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 58.

The square root of 8625885268 is about 92875.6441054381. The cubic root of 8625885268 is about 2050.8531264134.

The spelling of 8625885268 in words is "eight billion, six hundred twenty-five million, eight hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 151 154 182 242 286 302 308 364 484 572 604 847 1001 1057 1297 1573 1661 1694 1963 2002 2114 2594 3146 3322 3388 3926 4004 4228 5188 6292 6644 7852 9079 11011 11627 13741 14267 16861 18158 18271 21593 22022 23254 27482 28534 33722 36316 36542 43186 44044 46508 54964 57068 67444 73084 86372 99869 118027 127897 151151 156937 185471 195847 199738 236054 237523 255794 302302 313874 370942 391694 399476 472108 475046 511588 604604 627748 741884 783388 950092 1098559 1298297 1370929 1662661 2040181 2154317 2197118 2546011 2596594 2741858 3325322 4080362 4308634 4394236 5092022 5193188 5483716 6650644 8160724 8617268 10184044 14281267 15080219 17822077 23697487 28006121 28562534 30160438 35644154 47394974 56012242 57125068 60320876 71288308 94789948 112024484 165882409 196042847 308067331 331764818 392085694 616134662 663529636 784171388 1232269324 2156471317 4312942634 8625885268