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46394012029225 = 52721946092
BaseRepresentation
bin10101000110001111100101…
…00110110101000100101001
320002021020001110121111112011
422203013302212311010221
522040104414034413400
6242401040452315521
712525566603411200
oct1243076246650451
9202236043544464
1046394012029225
1113867654334843
125253578912ba1
131cb6c2381c203
14b656a70b0237
15556c34a3e8ba
hex2a31f29b5129

46394012029225 has 27 divisors (see below), whose sum is σ = 66921339186597. Its totient is φ = 31812873348480.

The previous prime is 46394012029093. The next prime is 46394012029237. The reversal of 46394012029225 is 52292021049364.

The square root of 46394012029225 is 6811315.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24868383686041 + 21525628343184 = 4986821^2 + 4639572^2 .

It is not a de Polignac number, because 46394012029225 - 217 = 46394011898153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 238298721 + ... + 238493329.

Almost surely, 246394012029225 is an apocalyptic number.

46394012029225 is the 6811315-th square number.

46394012029225 is the 3405658-th centered octagonal number.

It is an amenable number.

46394012029225 is a deficient number, since it is larger than the sum of its proper divisors (20527327157372).

46394012029225 is an frugal number, since it uses more digits than its factorization.

46394012029225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389242 (or 194621 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

46394012029225 divided by its sum of digits (49) gives a square (946816572025 = 9730452).

The spelling of 46394012029225 in words is "forty-six trillion, three hundred ninety-four billion, twelve million, twenty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 194609 973045 1362263 4865225 6811315 9535841 34056575 47679205 238396025 37872662881 189363314405 265108640167 946816572025 1325543200835 1855760481169 6627716004175 9278802405845 46394012029225