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46442228004 = 22321290061889
BaseRepresentation
bin101011010000001011…
…000010100100100100
311102212122020121221200
4223100023002210210
51230103202244004
633200230042500
73232611265434
oct532013024444
9142778217850
1046442228004
1118772477317
1290014a9430
1344c19565b3
1423680142c4
15131c375239
hexad02c2924

46442228004 has 18 divisors (see below), whose sum is σ = 117395631990. Its totient is φ = 15480742656.

The previous prime is 46442228003. The next prime is 46442228033. The reversal of 46442228004 is 40082224464.

It is a happy number.

46442228004 is a `hidden beast` number, since 4 + 644 + 2 + 2 + 2 + 8 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39244402404 + 7197825600 = 198102^2 + 84840^2 .

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

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: 1290061889 = 46442228004 / (4 + 6 + 4 + 4 + 2 + 2 + 2 + 8 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 46442228004.

It is not an unprimeable number, because it can be changed into a prime (46442228003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 645030909 + ... + 645030980.

It is an arithmetic number, because the mean of its divisors is an integer number (6521979555).

Almost surely, 246442228004 is an apocalyptic number.

It is an amenable number.

46442228004 is an abundant number, since it is smaller than the sum of its proper divisors (70953403986).

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

46442228004 is a wasteful number, since it uses less digits than its factorization.

46442228004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290061899 (or 1290061894 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 46442228004 in words is "forty-six billion, four hundred forty-two million, two hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1290061889 2580123778 3870185667 5160247556 7740371334 11610557001 15480742668 23221114002 46442228004