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426727723536 = 2432544372
BaseRepresentation
bin1100011010110101111…
…01000101001000010000
31111210110101111101221100
412031122331011020100
523442414244123121
6524011440024400
742554465542152
oct6153275051020
91453411441840
10426727723536
11154a79747714
126a852302100
1331317aa9b7a
1416921baaad2
15b1780e9026
hex635af45210

426727723536 has 45 divisors (see below), whose sum is σ = 1194266887021. Its totient is φ = 142239961536.

The previous prime is 426727723519. The next prime is 426727723553. The reversal of 426727723536 is 635327727624.

The square root of 426727723536 is 653244.

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

426727723536 is a `hidden beast` number, since 4 + 2 + 67 + 27 + 7 + 23 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (426727723519) and next prime (426727723553).

It can be written as a sum of positive squares in only one way, i.e., 49417290000 + 377310433536 = 222300^2 + 614256^2 .

It is a super-3 number, since 3×4267277235363 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7811710 + ... + 7866146.

Almost surely, 2426727723536 is an apocalyptic number.

426727723536 is the 653244-th square number.

It is an amenable number.

426727723536 is an abundant number, since it is smaller than the sum of its proper divisors (767539163485).

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

426727723536 is an frugal number, since it uses more digits than its factorization.

426727723536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108888 (or 54442 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 54.

The spelling of 426727723536 in words is "four hundred twenty-six billion, seven hundred twenty-seven million, seven hundred twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 54437 108874 163311 217748 326622 435496 489933 653244 870992 979866 1306488 1959732 2612976 3919464 7838928 2963386969 5926773938 8890160907 11853547876 17780321814 23707095752 26670482721 35560643628 47414191504 53340965442 71121287256 106681930884 142242574512 213363861768 426727723536