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8955164640 = 253526177129
BaseRepresentation
bin10000101011100010…
…01111011111100000
3212010002201111110110
420111301033133200
5121320010232030
64040340131320
7434626433502
oct102561173740
925102644413
108955164640
113885a58814
12189b096b40
13ac93b28b6
1460d4a3d72
153762c21b0
hex215c4f7e0

8955164640 has 96 divisors (see below), whose sum is σ = 28223506080. Its totient is φ = 2386796544.

The previous prime is 8955164633. The next prime is 8955164653. The reversal of 8955164640 is 464615598.

8955164640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8955164640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252596 + ... + 1259724.

It is an arithmetic number, because the mean of its divisors is an integer number (293994855).

Almost surely, 28955164640 is an apocalyptic number.

8955164640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8955164640 is an abundant number, since it is smaller than the sum of its proper divisors (19268341440).

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

8955164640 is a wasteful number, since it uses less digits than its factorization.

8955164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9756 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 8955164640 is about 94631.7316760081. The cubic root of 8955164640 is about 2076.6239488333.

The spelling of 8955164640 in words is "eight billion, nine hundred fifty-five million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2617 5234 7129 7851 10468 13085 14258 15702 20936 21387 26170 28516 31404 35645 39255 41872 42774 52340 57032 62808 71290 78510 83744 85548 104680 106935 114064 125616 142580 157020 171096 209360 213870 228128 251232 285160 314040 342192 418720 427740 570320 628080 684384 855480 1140640 1256160 1710960 3421920 18656593 37313186 55969779 74626372 93282965 111939558 149252744 186565930 223879116 279848895 298505488 373131860 447758232 559697790 597010976 746263720 895516464 1119395580 1492527440 1791032928 2238791160 2985054880 4477582320 8955164640