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541450203889 = 74150172
BaseRepresentation
bin1111110000100001111…
…00100111001011110001
31220202120121002020111011
413320100330213023301
532332342223011024
61052423324550521
754055432540000
oct7702074471361
91822517066434
10541450203889
1119969a585151
1288b2a6b2441
133c09b7a8c3a
141c2c6250c37
15e13eaca094
hex7e10f272f1

541450203889 has 15 divisors (see below), whose sum is σ = 631696384907. Its totient is φ = 464069269776.

The previous prime is 541450203863. The next prime is 541450203947. The reversal of 541450203889 is 988302054145.

The square root of 541450203889 is 735833.

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

It can be written as a sum of positive squares in only one way, i.e., 183616535025 + 357833668864 = 428505^2 + 598192^2 .

It is not a de Polignac number, because 541450203889 - 25 = 541450203857 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (541450203859) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36048309 + ... + 36063325.

Almost surely, 2541450203889 is an apocalyptic number.

541450203889 is the 735833-rd square number.

541450203889 is the 367917-th centered octagonal number.

It is an amenable number.

541450203889 is a deficient number, since it is larger than the sum of its proper divisors (90246181018).

541450203889 is an frugal number, since it uses more digits than its factorization.

541450203889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30062 (or 15024 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 541450203889 by its sum of digits (49), we get a square (26531059990561 = 51508312).

541450203889 divided by its sum of digits (49) gives a square (11050004161 = 1051192).

The spelling of 541450203889 in words is "five hundred forty-one billion, four hundred fifty million, two hundred three thousand, eight hundred eighty-nine".

Divisors: 1 7 49 343 2401 15017 105119 735833 5150831 36055817 225510289 1578572023 11050004161 77350029127 541450203889