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512300153420541 = 32175332471328733
BaseRepresentation
bin111010001111011110010110…
…0101010011011101011111101
32111011220102020112021100101100
41310132330230222123223331
51014122011203233424131
65013323235205203313
7212623315244110053
oct16436745452335375
92434812215240340
10512300153420541
11139264302a72002
124955b250a00539
1318cb190a90ac55
1490716616b61d3
153e361816d57e6
hex1d1ef2ca9bafd

512300153420541 has 12 divisors (see below), whose sum is σ = 740411237792668. Its totient is φ = 341338607630784.

The previous prime is 512300153420533. The next prime is 512300153420563. The reversal of 512300153420541 is 145024351003215.

512300153420541 is a `hidden beast` number, since 5 + 1 + 2 + 30 + 0 + 153 + 420 + 54 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46680186644100 + 465619966776441 = 6832290^2 + 21578229^2 .

It is not a de Polignac number, because 512300153420541 - 23 = 512300153420533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 512300153420496 and 512300153420505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512300153427541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16235648590 + ... + 16235680143.

Almost surely, 2512300153420541 is an apocalyptic number.

It is an amenable number.

512300153420541 is a deficient number, since it is larger than the sum of its proper divisors (228111084372127).

512300153420541 is a wasteful number, since it uses less digits than its factorization.

512300153420541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32471330492 (or 32471330489 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 512300153420541 in words is "five hundred twelve trillion, three hundred billion, one hundred fifty-three million, four hundred twenty thousand, five hundred forty-one".

Divisors: 1 3 9 1753 5259 15777 32471328733 97413986199 292241958597 56922239268949 170766717806847 512300153420541