Search a number
-
+
8556043680 = 2532543138179
BaseRepresentation
bin1111111011111101…
…01101110110100000
3211002021201001102200
413331332231312200
5120010321344210
63533001413200
7422012112522
oct77576556640
924067631380
108556043680
1136a0733288
1217a949a200
13a647bb452
145b248ba12
153512340c0
hex1fdfadda0

8556043680 has 144 divisors (see below), whose sum is σ = 29876726880. Its totient is φ = 2228534784.

The previous prime is 8556043673. The next prime is 8556043687. The reversal of 8556043680 is 863406558.

8556043680 is a `hidden beast` number, since 8 + 5 + 5 + 604 + 36 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8556043673) and next prime (8556043687).

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

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

It is not an unprimeable number, because it can be changed into a prime (8556043687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7170 + ... + 131009.

It is an arithmetic number, because the mean of its divisors is an integer number (207477270).

Almost surely, 28556043680 is an apocalyptic number.

8556043680 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 8556043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938363440).

8556043680 is an abundant number, since it is smaller than the sum of its proper divisors (21320683200).

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

8556043680 is a wasteful number, since it uses less digits than its factorization.

8556043680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138243 (or 138232 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8556043680 is about 92498.8847500336. The cubic root of 8556043680 is about 2045.3030423114.

The spelling of 8556043680 in words is "eight billion, five hundred fifty-six million, forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 138179 276358 414537 552716 690895 829074 1105432 1243611 1381790 1658148 2072685 2210864 2487222 2763580 3316296 4145370 4421728 4974444 5527160 5941697 6218055 6632592 8290740 9948888 11054320 11883394 12436110 13265184 16581480 17825091 19897776 22108640 23766788 24872220 29708485 33162960 35650182 39795552 47533576 49744440 53475273 59416970 66325920 71300364 89125455 95067152 99488880 106950546 118833940 142600728 178250910 190134304 198977760 213901092 237667880 267376365 285201456 356501820 427802184 475335760 534752730 570402912 713003640 855604368 950671520 1069505460 1426007280 1711208736 2139010920 2852014560 4278021840 8556043680