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8557135920 = 243357354269
BaseRepresentation
bin1111111100000101…
…11000100000110000
3211002100202112201000
413332002320200300
5120011111322140
63533041042000
7422024312064
oct77602704060
924070675630
108557135920
1136a1309963
1217a9926300
13a64ab1648
145b2693aa4
1535139ca30
hex1fe0b8830

8557135920 has 160 divisors (see below), whose sum is σ = 29878891200. Its totient is φ = 2250602496.

The previous prime is 8557135919. The next prime is 8557135957. The reversal of 8557135920 is 295317558.

8557135920 is a `hidden beast` number, since 8 + 5 + 57 + 1 + 3 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130546 + ... + 184814.

It is an arithmetic number, because the mean of its divisors is an integer number (186743070).

Almost surely, 28557135920 is an apocalyptic number.

8557135920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8557135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939445600).

8557135920 is an abundant number, since it is smaller than the sum of its proper divisors (21321755280).

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

8557135920 is a wasteful number, since it uses less digits than its factorization.

8557135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54364 (or 54352 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 8557135920 is about 92504.7886328054. The cubic root of 8557135920 is about 2045.3900711152.

The spelling of 8557135920 in words is "eight billion, five hundred fifty-seven million, one hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 73 80 90 108 120 135 144 146 180 216 219 240 270 292 360 365 432 438 540 584 657 720 730 876 1080 1095 1168 1314 1460 1752 1971 2160 2190 2628 2920 3285 3504 3942 4380 5256 5840 6570 7884 8760 9855 10512 13140 15768 17520 19710 26280 31536 39420 52560 54269 78840 108538 157680 162807 217076 271345 325614 434152 488421 542690 651228 814035 868304 976842 1085380 1302456 1465263 1628070 1953684 2170760 2442105 2604912 2930526 3256140 3907368 3961637 4341520 4884210 5861052 6512280 7326315 7814736 7923274 9768420 11722104 11884911 13024560 14652630 15846548 19536840 19808185 23444208 23769822 29305260 31693096 35654733 39073680 39616370 47539644 58610520 59424555 63386192 71309466 79232740 95079288 106964199 117221040 118849110 142618932 158465480 178273665 190158576 213928398 237698220 285237864 316930960 356547330 427856796 475396440 534820995 570475728 713094660 855713592 950792880 1069641990 1426189320 1711427184 2139283980 2852378640 4278567960 8557135920