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8118066960 = 2432511275093
BaseRepresentation
bin1111000111101111…
…11101111100010000
3202221202120112022200
413203313331330100
5113111211120320
63421314203200
7405113300463
oct74367757420
922852515280
108118066960
113496489953
1216a6883500
139c4b41223
1457023d2da
15327a6d290
hex1e3dfdf10

8118066960 has 60 divisors (see below), whose sum is σ = 27263177292. Its totient is φ = 2164817664.

The previous prime is 8118066923. The next prime is 8118066973. The reversal of 8118066960 is 696608118.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4362338304 + 3755728656 = 66048^2 + 61284^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×81180669602 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5636827 + ... + 5638266.

Almost surely, 28118066960 is an apocalyptic number.

8118066960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8118066960 is an abundant number, since it is smaller than the sum of its proper divisors (19145110332).

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

8118066960 is a wasteful number, since it uses less digits than its factorization.

8118066960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275112 (or 11275103 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8118066960 is about 90100.3160926753. The cubic root of 8118066960 is about 2009.7909042162.

The spelling of 8118066960 in words is "eight billion, one hundred eighteen million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 11275093 22550186 33825279 45100372 56375465 67650558 90200744 101475837 112750930 135301116 169126395 180401488 202951674 225501860 270602232 338252790 405903348 451003720 507379185 541204464 676505580 811806696 902007440 1014758370 1353011160 1623613392 2029516740 2706022320 4059033480 8118066960