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46143205108641 = 3222642932
BaseRepresentation
bin10100111110111100011010…
…10110010110101110100001
320001101020200022010211110100
422133132031112112232201
522022002241001434031
6242045521253453013
712501510431642244
oct1237361526265641
9201336608124410
1046143205108641
1113780250373183
125212a42041169
131c99393526424
14b574b345125b
15550455e82de6
hex29f78d596ba1

46143205108641 has 9 divisors (see below), whose sum is σ = 66651325703859. Its totient is φ = 30762123153336.

The previous prime is 46143205108631. The next prime is 46143205108657. The reversal of 46143205108641 is 14680150234164.

The square root of 46143205108641 is 6792879.

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

46143205108641 is a `hidden beast` number, since 4 + 6 + 14 + 3 + 2 + 0 + 510 + 86 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7718034078225 + 38425171030416 = 2778135^2 + 6198804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 46143205108641 - 213 = 46143205100449 is a prime.

It is a super-2 number, since 2×461432051086412 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46143205108631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19246491 + ... + 21510783.

Almost surely, 246143205108641 is an apocalyptic number.

46143205108641 is the 6792879-th square number.

46143205108641 is the 3396440-th centered octagonal number.

It is an amenable number.

46143205108641 is a deficient number, since it is larger than the sum of its proper divisors (20508120595218).

46143205108641 is an frugal number, since it uses more digits than its factorization.

46143205108641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528592 (or 2264296 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46143205108641 in words is "forty-six trillion, one hundred forty-three billion, two hundred five million, one hundred eight thousand, six hundred forty-one".

Divisors: 1 3 9 2264293 6792879 20378637 5127022789849 15381068369547 46143205108641