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46407454541 = 723892434681
BaseRepresentation
bin101011001110000110…
…011000111101001101
311102210012210221201122
4223032012120331031
51230020302021131
633152544450325
73232006566200
oct531606307515
9142705727648
1046407454541
1118754886518
128bb19199a5
1344b769c996
142363561937
1513192a6d7b
hexace198f4d

46407454541 has 12 divisors (see below), whose sum is σ = 54122980860. Its totient is φ = 39675545280.

The previous prime is 46407454477. The next prime is 46407454559. The reversal of 46407454541 is 14545470464.

It can be written as a sum of positive squares in 2 ways, for example, as 21091462441 + 25315992100 = 145229^2 + 159110^2 .

It is not a de Polignac number, because 46407454541 - 26 = 46407454477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46407454492 and 46407454501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46407450541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1198280 + ... + 1236401.

It is an arithmetic number, because the mean of its divisors is an integer number (4510248405).

Almost surely, 246407454541 is an apocalyptic number.

It is an amenable number.

46407454541 is a deficient number, since it is larger than the sum of its proper divisors (7715526319).

46407454541 is a wasteful number, since it uses less digits than its factorization.

46407454541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435084 (or 2435077 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 46407454541 in words is "forty-six billion, four hundred seven million, four hundred fifty-four thousand, five hundred forty-one".

Divisors: 1 7 49 389 2723 19061 2434681 17042767 119299369 947090909 6629636363 46407454541