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425979434241 = 3623210512
BaseRepresentation
bin1100011001011100101…
…10100101010100000001
31111201112020110101000000
412030232112211110001
523434401213343431
6523405305350213
742530111306544
oct6145626452401
91451466411000
10425979434241
11154725315909
126a683798369
1331228a60c3a
141689066285b
15b1325889e6
hex632e5a5501

425979434241 has 63 divisors (see below), whose sum is σ = 668288737137. Its totient is φ = 271380601800.

The previous prime is 425979434233. The next prime is 425979434281. The reversal of 425979434241 is 142434979524.

The square root of 425979434241 is 652671.

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

425979434241 is a `hidden beast` number, since 4 + 2 + 597 + 9 + 4 + 3 + 4 + 2 + 41 = 666.

It is not a de Polignac number, because 425979434241 - 23 = 425979434233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (425979434281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 405308166 + ... + 405309216.

Almost surely, 2425979434241 is an apocalyptic number.

425979434241 is the 652671-st square number.

425979434241 is the 326336-th centered octagonal number.

It is an amenable number.

425979434241 is a deficient number, since it is larger than the sum of its proper divisors (242309302896).

425979434241 is an frugal number, since it uses more digits than its factorization.

425979434241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 1077 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 425979434241 in words is "four hundred twenty-five billion, nine hundred seventy-nine million, four hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1051 1587 1863 3153 4761 5589 9459 14283 16767 24173 28377 42849 72519 85131 128547 217557 255393 385641 555979 652671 766179 1104601 1667937 1958013 3313803 5003811 5874039 9941409 15011433 17622117 25405823 29824227 45034299 76217469 89472681 135102897 228652407 268418043 405308691 584333929 685957221 805254129 1753001787 2057871663 5259005361 6173614989 15777016083 18520844967 47331048249 141993144747 425979434241