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425947723344 = 24321113174328297
BaseRepresentation
bin1100011001011000111…
…01100111011001010000
31111201110000210021211100
412030230131213121100
523434320104121334
6523402213544400
742526244624133
oct6145435473120
91451400707740
10425947723344
11154709426a60
126a675045100
133122230a2b0
141688a36a21a
15b12e8c2c99
hex632c767650

425947723344 has 480 divisors, whose sum is σ = 1517383131264. Its totient is φ = 109525893120.

The previous prime is 425947723321. The next prime is 425947723349. The reversal of 425947723344 is 443327749524.

425947723344 is a `hidden beast` number, since 4 + 2 + 594 + 7 + 7 + 2 + 3 + 3 + 44 = 666.

It is a super-3 number, since 3×4259477233443 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425947723349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15038604 + ... + 15066900.

Almost surely, 2425947723344 is an apocalyptic number.

425947723344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425947723344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758691565632).

425947723344 is an abundant number, since it is smaller than the sum of its proper divisors (1091435407920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425947723344 is a wasteful number, since it uses less digits than its factorization.

425947723344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28395 (or 28386 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 425947723344 in words is "four hundred twenty-five billion, nine hundred forty-seven million, seven hundred twenty-three thousand, three hundred forty-four".