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7106694480 = 243259870409
BaseRepresentation
bin1101001111001011…
…11000110101010000
3200100021111111002200
412213211320311100
5104023303210410
63133105043200
7341052622614
oct64745706520
920307444080
107106694480
1130175a8826
121464026500
13893451882
144b5bb1344
152b8d923c0
hex1a7978d50

7106694480 has 60 divisors (see below), whose sum is σ = 23866651380. Its totient is φ = 1895118336.

The previous prime is 7106694461. The next prime is 7106694481. The reversal of 7106694480 is 844966017.

7106694480 is a `hidden beast` number, since 7 + 106 + 69 + 4 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3411027216 + 3695667264 = 58404^2 + 60792^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7106694481) 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 11 ways as a sum of consecutive naturals, for example, 4934485 + ... + 4935924.

It is an arithmetic number, because the mean of its divisors is an integer number (397777523).

Almost surely, 27106694480 is an apocalyptic number.

It is an amenable number.

7106694480 is an abundant number, since it is smaller than the sum of its proper divisors (16759956900).

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

7106694480 is a wasteful number, since it uses less digits than its factorization.

7106694480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870428 (or 9870419 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7106694480 is about 84301.2128026638. The cubic root of 7106694480 is about 1922.6012268558.

The spelling of 7106694480 in words is "seven billion, one hundred six million, six hundred ninety-four thousand, four hundred eighty".

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 9870409 19740818 29611227 39481636 49352045 59222454 78963272 88833681 98704090 118444908 148056135 157926544 177667362 197408180 236889816 296112270 355334724 394816360 444168405 473779632 592224540 710669448 789632720 888336810 1184449080 1421338896 1776673620 2368898160 3553347240 7106694480