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2204040640644 = 223261223351129
BaseRepresentation
bin100000000100101011000…
…011110011100010000100
321210201000101022100101200
4200010223003303202010
5242102333401000034
64404304452022500
7315144116222343
oct40045303634204
97721011270350
102204040640644
1177a801534117
122b71a8901a30
1312cabca3426b
1478967463b5a
153c4eb053a99
hex2012b0f3884

2204040640644 has 18 divisors (see below), whose sum is σ = 5571324952830. Its totient is φ = 734680213536.

The previous prime is 2204040640621. The next prime is 2204040640651. The reversal of 2204040640644 is 4460460404022.

2204040640644 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 0 + 4 + 0 + 6 + 4 + 0 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2188506009600 + 15534631044 = 1479360^2 + 124638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×22040406406443 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 61223351129 = 2204040640644 / (2 + 2 + 0 + 4 + 0 + 4 + 0 + 6 + 4 + 0 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 2204040640599 and 2204040640608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30611675529 + ... + 30611675600.

It is an arithmetic number, because the mean of its divisors is an integer number (309518052935).

Almost surely, 22204040640644 is an apocalyptic number.

It is an amenable number.

2204040640644 is an abundant number, since it is smaller than the sum of its proper divisors (3367284312186).

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

2204040640644 is a wasteful number, since it uses less digits than its factorization.

2204040640644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61223351139 (or 61223351134 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2204040640644 in words is "two trillion, two hundred four billion, forty million, six hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61223351129 122446702258 183670053387 244893404516 367340106774 551010160161 734680213548 1102020320322 2204040640644