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640121210856 = 233219745129809
BaseRepresentation
bin10010101000010100011…
…00101000011111101000
32021012021010222202000200
421110022030220133220
540441432012221411
61210022335032200
764150541342151
oct11241214503750
92235233882020
10640121210856
112275238100a6
12a408736b660
1348494b6bb6a
1422da69a4928
15119b72e8e56
hex950a3287e8

640121210856 has 48 divisors (see below), whose sum is σ = 1742461964100. Its totient is φ = 212290616832.

The previous prime is 640121210851. The next prime is 640121210863. The reversal of 640121210856 is 658012121046.

It is a happy number.

640121210856 is a `hidden beast` number, since 640 + 1 + 2 + 1 + 2 + 1 + 0 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 514613977956 + 125507232900 = 717366^2 + 354270^2 .

It is a super-2 number, since 2×6401212108562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 640121210856.

It is not an unprimeable number, because it can be changed into a prime (640121210851) 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, 22550721 + ... + 22579088.

Almost surely, 2640121210856 is an apocalyptic number.

It is an amenable number.

640121210856 is an abundant number, since it is smaller than the sum of its proper divisors (1102340753244).

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

640121210856 is a wasteful number, since it uses less digits than its factorization.

640121210856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45130018 (or 45130011 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 640121210856 in words is "six hundred forty billion, one hundred twenty-one million, two hundred ten thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 45129809 90259618 135389427 180519236 270778854 361038472 406168281 541557708 812336562 1083115416 1624673124 3249346248 8890572373 17781144746 26671717119 35562289492 53343434238 71124578984 80015151357 106686868476 160030302714 213373736952 320060605428 640121210856