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10640350080 = 27335615761
BaseRepresentation
bin10011110100011011…
…01101101110000000
31000110112200210022000
421322031231232000
5133242412200310
64515455344000
7524451324543
oct117215555600
930415623260
1010640350080
114570222558
12208b522000
131007573049
1472d21085a
154241eb4c0
hex27a36db80

10640350080 has 128 divisors (see below), whose sum is σ = 37684634400. Its totient is φ = 2837422080.

The previous prime is 10640350079. The next prime is 10640350081. The reversal of 10640350080 is 8005304601.

10640350080 is a `hidden beast` number, since 10 + 640 + 3 + 5 + 0 + 0 + 8 + 0 = 666.

10640350080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10640350079) and next prime (10640350081).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106403500802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640350081) by changing a digit.

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, 290601 + ... + 325160.

Almost surely, 210640350080 is an apocalyptic number.

10640350080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10640350080 is an abundant number, since it is smaller than the sum of its proper divisors (27044284320).

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

10640350080 is an equidigital number, since it uses as much as digits as its factorization.

10640350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615789 (or 615771 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10640350080 its reverse (8005304601), we get a palindrome (18645654681).

The spelling of 10640350080 in words is "ten billion, six hundred forty million, three hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 615761 1231522 1847283 2463044 3078805 3694566 4926088 5541849 6157610 7389132 9236415 9852176 11083698 12315220 14778264 16625547 18472830 19704352 22167396 24630440 27709245 29556528 33251094 36945660 39408704 44334792 49260880 55418490 59113056 66502188 73891320 78817408 83127735 88669584 98521760 110836980 118226112 133004376 147782640 166255470 177339168 197043520 221673960 236452224 266008752 295565280 332510940 354678336 394087040 443347920 532017504 591130560 665021880 709356672 886695840 1064035008 1182261120 1330043760 1773391680 2128070016 2660087520 3546783360 5320175040 10640350080